86112059904 has 960 divisors, whose sum is σ = 301930675200. Its totient is φ = 24153292800.

The previous prime is 86112059899. The next prime is 86112059909. The reversal of 86112059904 is 40995021168.

86112059904 is a `hidden beast` number, since 8 + 611 + 20 + 5 + 9 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86112059899) and next prime (86112059909).

It is a self number, because there is not a number n which added to its sum of digits gives 86112059904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86112059909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2100294124 + ... + 2100294164.

It is an arithmetic number, because the mean of its divisors is an integer number (314511120).

Almost surely, 2^86112059904 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 86112059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150965337600).

86112059904 is an abundant number, since it is smaller than the sum of its proper divisors (215818615296).

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

86112059904 is a wasteful number, since it uses less digits than its factorization.

86112059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 86112059904 in words is "eighty-six billion, one hundred twelve million, fifty-nine thousand, nine hundred four".