56500664000 has 224 divisors, whose sum is σ = 154811284992. Its totient is φ = 20254080000.

The previous prime is 56500663981. The next prime is 56500664089. The reversal of 56500664000 is 46600565.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6243479 + ... + 6252521.

It is an arithmetic number, because the mean of its divisors is an integer number (691121808).

Almost surely, 2^56500664000 is an apocalyptic number.

56500664000 is a gapful number since it is divisible by the number (50) 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 56500664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77405642496).

56500664000 is an abundant number, since it is smaller than the sum of its proper divisors (98310620992).

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

56500664000 is a wasteful number, since it uses less digits than its factorization.

56500664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 56500664000 in words is "fifty-six billion, five hundred million, six hundred sixty-four thousand".