86976899867968 has 56 divisors (see below), whose sum is σ = 188327816306784. Its totient is φ = 39526010534400.

The previous prime is 86976899867941. The next prime is 86976899868077.

86976899867968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86976899867968² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10860330 + ... + 17085097.

It is an arithmetic number, because the mean of its divisors is an integer number (3362996719764).

Almost surely, 2^{86976899867968} is an apocalyptic number.

86976899867968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86976899867968 is an abundant number, since it is smaller than the sum of its proper divisors (101350916438816).

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

86976899867968 is a wasteful number, since it uses less digits than its factorization.

86976899867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27949871 (or 27949861 counting only the distinct ones).

The product of its digits is 1706597351424, while the sum is 106.

The spelling of 86976899867968 in words is "eighty-six trillion, nine hundred seventy-six billion, eight hundred ninety-nine million, eight hundred sixty-seven thousand, nine hundred sixty-eight".