86765120064000 has 2880 divisors, whose sum is σ = 390808158998400. Its totient is φ = 18380036505600.

The previous prime is 86765120063989. The next prime is 86765120064043. The reversal of 86765120064000 is 46002156768.

86765120064000 is a `hidden beast` number, since 8 + 6 + 76 + 512 + 0 + 0 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32147134651 + ... + 32147137349.

It is an arithmetic number, because the mean of its divisors is an integer number (135697277430).

Almost surely, 2^{86765120064000} is an apocalyptic number.

86765120064000 is a gapful number since it is divisible by the number (80) 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 86765120064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195404079499200).

86765120064000 is an abundant number, since it is smaller than the sum of its proper divisors (304043038934400).

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

86765120064000 is a wasteful number, since it uses less digits than its factorization.

86765120064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 86765120064000 in words is "eighty-six trillion, seven hundred sixty-five billion, one hundred twenty million, sixty-four thousand".