That sounds like an ambitious plan. The length of the EU outer border is not easy to determine, as it depends on how you define the border and whether you include the overseas territories and dependencies of some member states. According to one source, the coastline of the continental European Union is 66,000 km (41,000 miles) long, while another source estimates that the EU has 14,647 km of land borders with twenty-one third countries. However, these numbers do not include the borders of islands and overseas territories that are part of the EU, such as Cyprus, Malta, French Guiana, Martinique, etc.

To estimate how long it would take to walk around the EU outer border, we would need to make some assumptions and simplifications. For example, we could assume that you walk at an average speed of 5 km/h (3.1 mph), which is a typical walking pace for a healthy adult. We could also assume that you walk for 8 hours a day, which would give you 16 hours for rest and other activities. We could also ignore any obstacles or difficulties along the way, such as mountains, rivers, roads, checkpoints, etc.

Using these assumptions, we can calculate that it would take you about 2,220 days or 6.1 years to walk around the EU outer border. This is based on adding the coastline and land border lengths from the sources above and dividing by the distance you can cover in a day (5 km/h x 8 h = 40 km/day). Of course, this is a very rough estimate and it does not account for many factors that would affect your actual journey.

As for how many walking shoes you should buy beforehand, that would depend on the quality and durability of your shoes and how often you need to replace them. According to some sources , a pair of walking shoes can last for about 500-800 km (300-500 miles) before they wear out. This means that you would need about 100-200 pairs of shoes to walk around the EU outer border. However, this is also a rough estimate and it does not account for your personal preferences and comfort.
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