56292205200 has 480 divisors, whose sum is σ = 225576990720. Its totient is φ = 11657625600.

The previous prime is 56292205169. The next prime is 56292205219. The reversal of 56292205200 is 250229265.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33170752 + ... + 33172448.

It is an arithmetic number, because the mean of its divisors is an integer number (469952064).

Almost surely, 2^56292205200 is an apocalyptic number.

56292205200 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 56292205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112788495360).

56292205200 is an abundant number, since it is smaller than the sum of its proper divisors (169284785520).

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

56292205200 is a wasteful number, since it uses less digits than its factorization.

56292205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 56292205200 in words is "fifty-six billion, two hundred ninety-two million, two hundred five thousand, two hundred".