Capacitor Sizing for A Full Wave Bridge Rectifier?
Err, no, I think your last step there is off.

$$
\frac{50\text{A}}{2\cdot 60\text{Hz}\cdot 2\text{V}} = 0.2083\text{F} = 208333\mu\text{F}
$$

That's a huge capacitor. Or, more likely, huge bank of capacitors. (Edit: as it turns out, there are plenty of capacitors > 200mF and > 35V. However, they are expensive, and about the size of a Mason jar.)

Are you sure you want to be designing a 50A bridge rectifier? There are likely better ways to design a 50A AC-DC converter.

Also, how crucial is the 16V output? I'm guessing the 16V accounts for voltage drop on a regulator, so does 15V regulated out work? Because there are power supplies that can provide 15V @ 50+ A (see this XP Power PSU for example).