86630619023520 has 288 divisors, whose sum is σ = 323022615503616. Its totient is φ = 19385872619520.

The previous prime is 86630619023519. The next prime is 86630619023551. The reversal of 86630619023520 is 2532091603668.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 56613192 + ... + 58123271.

It is an arithmetic number, because the mean of its divisors is an integer number (1121606303832).

Almost surely, 2^{86630619023520} is an apocalyptic number.

86630619023520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86630619023520 is an abundant number, since it is smaller than the sum of its proper divisors (236391996480096).

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

86630619023520 is a wasteful number, since it uses less digits than its factorization.

86630619023520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114736516 (or 114736497 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 86630619023520 in words is "eighty-six trillion, six hundred thirty billion, six hundred nineteen million, twenty-three thousand, five hundred twenty".