86788655688768 has 112 divisors (see below), whose sum is σ = 250776208266240. Its totient is φ = 26270974425600.

The previous prime is 86788655688739. The next prime is 86788655688851.

86788655688768 is nontrivially palindromic in base 10.

86788655688768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20416588 + ... + 24298443.

Almost surely, 2^{86788655688768} is an apocalyptic number.

86788655688768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86788655688768 is an abundant number, since it is smaller than the sum of its proper divisors (163987552577472).

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

86788655688768 is a wasteful number, since it uses less digits than its factorization.

86788655688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44715976 (or 44715966 counting only the distinct ones).

The product of its digits is 416179814400, while the sum is 96.

The spelling of 86788655688768 in words is "eighty-six trillion, seven hundred eighty-eight billion, six hundred fifty-five million, six hundred eighty-eight thousand, seven hundred sixty-eight".