85688085756 has 192 divisors, whose sum is σ = 252096768000. Its totient is φ = 22509430272.

The previous prime is 85688085713. The next prime is 85688085757. The reversal of 85688085756 is 65758088658.

It is a super-3 number, since 3×85688085756³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85688085757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14069560 + ... + 14075648.

It is an arithmetic number, because the mean of its divisors is an integer number (1313004000).

Almost surely, 2^85688085756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85688085756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126048384000).

85688085756 is an abundant number, since it is smaller than the sum of its proper divisors (166408682244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85688085756 is a wasteful number, since it uses less digits than its factorization.

85688085756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 66.

The spelling of 85688085756 in words is "eighty-five billion, six hundred eighty-eight million, eighty-five thousand, seven hundred fifty-six".