56444608800 has 216 divisors, whose sum is σ = 199475888976. Its totient is φ = 15018769920.

The previous prime is 56444608799. The next prime is 56444608841. The reversal of 56444608800 is 880644465.

56444608800 is a `hidden beast` number, since 564 + 4 + 4 + 6 + 0 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3354007 + ... + 3370793.

It is an arithmetic number, because the mean of its divisors is an integer number (923499486).

Almost surely, 2^56444608800 is an apocalyptic number.

56444608800 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 56444608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99737944488).

56444608800 is an abundant number, since it is smaller than the sum of its proper divisors (143031280176).

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

56444608800 is a wasteful number, since it uses less digits than its factorization.

56444608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17280 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 56444608800 in words is "fifty-six billion, four hundred forty-four million, six hundred eight thousand, eight hundred".