86116416325632 has 1152 divisors, whose sum is σ = 315153598556160. Its totient is φ = 22004269056000.

The previous prime is 86116416325613. The next prime is 86116416325651. The reversal of 86116416325632 is 23652361461168.

86116416325632 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 6 + 41 + 6 + 32 + 563 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86116416325613) and next prime (86116416325651).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76684252623 + ... + 76684253745.

It is an arithmetic number, because the mean of its divisors is an integer number (273570832080).

Almost surely, 2^{86116416325632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86116416325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157576799278080).

86116416325632 is an abundant number, since it is smaller than the sum of its proper divisors (229037182230528).

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

86116416325632 is a wasteful number, since it uses less digits than its factorization.

86116416325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1978 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 86116416325632 in words is "eighty-six trillion, one hundred sixteen billion, four hundred sixteen million, three hundred twenty-five thousand, six hundred thirty-two".