56305972800 has 672 divisors, whose sum is σ = 255918858240. Its totient is φ = 11699251200.

The previous prime is 56305972783. The next prime is 56305972819. The reversal of 56305972800 is 827950365.

It is a happy number.

56305972800 is a `hidden beast` number, since 5 + 6 + 30 + 597 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3317937 + ... + 3334863.

Almost surely, 2^56305972800 is an apocalyptic number.

56305972800 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 56305972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127959429120).

56305972800 is an abundant number, since it is smaller than the sum of its proper divisors (199612885440).

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

56305972800 is a wasteful number, since it uses less digits than its factorization.

56305972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16976 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56305972800 in words is "fifty-six billion, three hundred five million, nine hundred seventy-two thousand, eight hundred".