86072288400 has 180 divisors, whose sum is σ = 341365528192. Its totient is φ = 19673660160.

The previous prime is 86072288399. The next prime is 86072288539. The reversal of 86072288400 is 488227068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1682584 + ... + 1732983.

Almost surely, 2^86072288400 is an apocalyptic number.

86072288400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86072288400 is an abundant number, since it is smaller than the sum of its proper divisors (255293239792).

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

86072288400 is a wasteful number, since it uses less digits than its factorization.

86072288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415598 (or 3415584 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 86072288400 in words is "eighty-six billion, seventy-two million, two hundred eighty-eight thousand, four hundred".