This is more to that!
60 is https://en.wikipedia.org/wiki/Superior_highly_composite_numb... which means that lot of fractional numbers can be represnted in nice way.
And because one year is around 360 days and 12 (another superior highly composite number) is roughly correspond to number of lunar months in the year, people used those to based their calendar and angular measurments around that.
And 60 is very close to 64, so it could be nicely represented in binary... (10 is kinda akward, too big for 8 and too small for 16)
They counted to 60 by counting the 3 phalanges on each finger on one hand and with their other hand they indicated each time they added 12 more numbers to their count. So by adding 12 numbers 5 times they were able to count to 60! This is base 60, also known as the sexagesimal number system.
