86957037519360 has 320 divisors, whose sum is σ = 299896846837632. Its totient is φ = 21412726439936.

The previous prime is 86957037519329. The next prime is 86957037519383. The reversal of 86957037519360 is 6391573075968.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636367 + ... + 13202993.

Almost surely, 2^{86957037519360} is an apocalyptic number.

86957037519360 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 86957037519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149948423418816).

86957037519360 is an abundant number, since it is smaller than the sum of its proper divisors (212939809318272).

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

86957037519360 is a wasteful number, since it uses less digits than its factorization.

86957037519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566723 (or 12566707 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 69.

The spelling of 86957037519360 in words is "eighty-six trillion, nine hundred fifty-seven billion, thirty-seven million, five hundred nineteen thousand, three hundred sixty".