bedtool intersect multiple bed files
If you want to find the intersection between ALL your bedfiles, you can try multiIntersectBed (available since bedtools 2.14.3).

It should work like this :

multiIntersectBed -i SRR2920506.filtered.bed SRR2920531.filtered.bed SRR2920466.filtered.bed SRR2920478.filtered.bed SRR2920507.filtered.bed SRR2920532.filtered.bed  &gt; answer.bed


To sort your bedfiles by chromosome then by start :

sort -k 1,1 -k2,2n myfile.bed