56014064400 has 120 divisors (see below), whose sum is σ = 205064853184. Its totient is φ = 12803212800.

The previous prime is 56014064399. The next prime is 56014064437. The reversal of 56014064400 is 446041065.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3325771 + ... + 3342570.

Almost surely, 2^56014064400 is an apocalyptic number.

56014064400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56014064400 is an abundant number, since it is smaller than the sum of its proper divisors (149050788784).

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

56014064400 is a wasteful number, since it uses less digits than its factorization.

56014064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668369 (or 6668358 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 56014064400 in words is "fifty-six billion, fourteen million, sixty-four thousand, four hundred".