86199759360 has 2240 divisors, whose sum is σ = 405750280320. Its totient is φ = 17199267840.

The previous prime is 86199759323. The next prime is 86199759419. The reversal of 86199759360 is 6395799168.

86199759360 is a `hidden beast` number, since 8 + 619 + 9 + 7 + 5 + 9 + 3 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4536829431 + ... + 4536829449.

It is an arithmetic number, because the mean of its divisors is an integer number (181138518).

Almost surely, 2^86199759360 is an apocalyptic number.

86199759360 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 86199759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202875140160).

86199759360 is an abundant number, since it is smaller than the sum of its proper divisors (319550520960).

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

86199759360 is a wasteful number, since it uses less digits than its factorization.

86199759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 86199759360 in words is "eighty-six billion, one hundred ninety-nine million, seven hundred fifty-nine thousand, three hundred sixty".