86388556800 has 1056 divisors, whose sum is σ = 360248942592. Its totient is φ = 17771397120.

The previous prime is 86388556781. The next prime is 86388556867. The reversal of 86388556800 is 865588368.

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 95 ways as a sum of consecutive naturals, for example, 328473469 + ... + 328473731.

It is an arithmetic number, because the mean of its divisors is an integer number (341144832).

Almost surely, 2^86388556800 is an apocalyptic number.

86388556800 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 86388556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180124471296).

86388556800 is an abundant number, since it is smaller than the sum of its proper divisors (273860385792).

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

86388556800 is a wasteful number, since it uses less digits than its factorization.

86388556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 86388556800 in words is "eighty-six billion, three hundred eighty-eight million, five hundred fifty-six thousand, eight hundred".