86352094579968 has 360 divisors, whose sum is σ = 304417340599680. Its totient is φ = 23821266309120.

The previous prime is 86352094579937. The next prime is 86352094580023. The reversal of 86352094579968 is 86997549025368.

86352094579968 is a `hidden beast` number, since 8 + 6 + 35 + 2 + 0 + 9 + 4 + 579 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6047628 + ... + 14466443.

It is an arithmetic number, because the mean of its divisors is an integer number (845603723888).

Almost surely, 2^{86352094579968} is an apocalyptic number.

It is an amenable number.

86352094579968 is an abundant number, since it is smaller than the sum of its proper divisors (218065246019712).

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

86352094579968 is a wasteful number, since it uses less digits than its factorization.

86352094579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20514135 (or 20514112 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 86352094579968 in words is "eighty-six trillion, three hundred fifty-two billion, ninety-four million, five hundred seventy-nine thousand, nine hundred sixty-eight".