86658838992 has 180 divisors, whose sum is σ = 267137416000. Its totient is φ = 26204999040.

The previous prime is 86658838919. The next prime is 86658838993. The reversal of 86658838992 is 29983885668.

86658838992 is a `hidden beast` number, since 8 + 6 + 6 + 588 + 38 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86658838992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86658838993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8689593 + ... + 8699559.

Almost surely, 2^86658838992 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 86658838992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133568708000).

86658838992 is an abundant number, since it is smaller than the sum of its proper divisors (180478577008).

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

86658838992 is a wasteful number, since it uses less digits than its factorization.

86658838992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10482 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 86658838992 in words is "eighty-six billion, six hundred fifty-eight million, eight hundred thirty-eight thousand, nine hundred ninety-two".