86904294400 has 264 divisors, whose sum is σ = 268578452736. Its totient is φ = 27086438400.

The previous prime is 86904294377. The next prime is 86904294413. The reversal of 86904294400 is 449240968.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1949157 + ... + 1993243.

It is an arithmetic number, because the mean of its divisors is an integer number (1017342624).

Almost surely, 2^86904294400 is an apocalyptic number.

86904294400 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 86904294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134289226368).

86904294400 is an abundant number, since it is smaller than the sum of its proper divisors (181674158336).

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

86904294400 is a wasteful number, since it uses less digits than its factorization.

86904294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44135 (or 44112 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 86904294400 in words is "eighty-six billion, nine hundred four million, two hundred ninety-four thousand, four hundred".