86368012920 has 384 divisors, whose sum is σ = 329587315200. Its totient is φ = 19203996672.

The previous prime is 86368012909. The next prime is 86368012957. The reversal of 86368012920 is 2921086368.

86368012920 is a `hidden beast` number, since 8 + 636 + 8 + 0 + 1 + 2 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29147359 + ... + 29150321.

It is an arithmetic number, because the mean of its divisors is an integer number (858300300).

Almost surely, 2^86368012920 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 86368012920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164793657600).

86368012920 is an abundant number, since it is smaller than the sum of its proper divisors (243219302280).

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

86368012920 is a wasteful number, since it uses less digits than its factorization.

86368012920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 86368012920 in words is "eighty-six billion, three hundred sixty-eight million, twelve thousand, nine hundred twenty".