86687892756 has 144 divisors (see below), whose sum is σ = 226474754688. Its totient is φ = 27945388800.

The previous prime is 86687892737. The next prime is 86687892761. The reversal of 86687892756 is 65729878668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95576055 + ... + 95576961.

It is an arithmetic number, because the mean of its divisors is an integer number (1572741352).

Almost surely, 2^86687892756 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 86687892756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113237377344).

86687892756 is an abundant number, since it is smaller than the sum of its proper divisors (139786861932).

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

86687892756 is a wasteful number, since it uses less digits than its factorization.

86687892756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1657 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 86687892756 in words is "eighty-six billion, six hundred eighty-seven million, eight hundred ninety-two thousand, seven hundred fifty-six".