85900656688 has 160 divisors (see below), whose sum is σ = 213078362112. Its totient is φ = 32572108800.

The previous prime is 85900656637. The next prime is 85900656689. The reversal of 85900656688 is 88665600958.

It is not an unprimeable number, because it can be changed into a prime (85900656689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23385220 + ... + 23388892.

Almost surely, 2^85900656688 is an apocalyptic number.

85900656688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85900656688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106539181056).

85900656688 is an abundant number, since it is smaller than the sum of its proper divisors (127177705424).

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

85900656688 is a wasteful number, since it uses less digits than its factorization.

85900656688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 85900656688 in words is "eighty-five billion, nine hundred million, six hundred fifty-six thousand, six hundred eighty-eight".