86812508160 has 1080 divisors, whose sum is σ = 367118846640. Its totient is φ = 19619905536.

The previous prime is 86812508149. The next prime is 86812508203. The reversal of 86812508160 is 6180521868.

86812508160 is a `hidden beast` number, since 8 + 6 + 81 + 2 + 508 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 975421396 + ... + 975421484.

It is an arithmetic number, because the mean of its divisors is an integer number (339924858).

Almost surely, 2^86812508160 is an apocalyptic number.

86812508160 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 86812508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183559423320).

86812508160 is an abundant number, since it is smaller than the sum of its proper divisors (280306338480).

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

86812508160 is an frugal number, since it uses more digits than its factorization.

86812508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 86812508160 in words is "eighty-six billion, eight hundred twelve million, five hundred eight thousand, one hundred sixty".