56792257200 has 360 divisors, whose sum is σ = 226426330208. Its totient is φ = 12912721920.

The previous prime is 56792257189. The next prime is 56792257217. The reversal of 56792257200 is 275229765.

56792257200 is a `hidden beast` number, since 5 + 6 + 79 + 2 + 2 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 4857762 + ... + 4869438.

Almost surely, 2^56792257200 is an apocalyptic number.

56792257200 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 56792257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113213165104).

56792257200 is an abundant number, since it is smaller than the sum of its proper divisors (169634073008).

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

56792257200 is a wasteful number, since it uses less digits than its factorization.

56792257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 56792257200 in words is "fifty-six billion, seven hundred ninety-two million, two hundred fifty-seven thousand, two hundred".