Question 1019761
{{{(2^5201*5^2560)/8^882 = (2^5201*5^2560)/2^2646 = 2^2555*5^2560 = 2^2555*5^2555*5^5 = 3125*10^2555}}}
This number is 3125 followed by 2,555 zeroes.  Thus the number of digits of this number is 2,559.