86118383904 has 192 divisors, whose sum is σ = 271724544000. Its totient is φ = 23361960960.

The previous prime is 86118383891. The next prime is 86118383917. The reversal of 86118383904 is 40938381168.

It is an interprime number because it is at equal distance from previous prime (86118383891) and next prime (86118383917).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065097 + ... + 1143095.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232000).

Almost surely, 2^86118383904 is an apocalyptic number.

86118383904 is a gapful number since it is divisible by the number (84) 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 86118383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272000).

86118383904 is an abundant number, since it is smaller than the sum of its proper divisors (185606160096).

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

86118383904 is a wasteful number, since it uses less digits than its factorization.

86118383904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78103 (or 78095 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 86118383904 in words is "eighty-six billion, one hundred eighteen million, three hundred eighty-three thousand, nine hundred four".