56744985600 has 198 divisors, whose sum is σ = 203174718890. Its totient is φ = 15131934720.

The previous prime is 56744985587. The next prime is 56744985607. The reversal of 56744985600 is 658944765.

56744985600 is a `hidden beast` number, since 5 + 6 + 74 + 4 + 9 + 8 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13627293696 + 43117691904 = 116736^2 + 207648^2 .

It is not an unprimeable number, because it can be changed into a prime (56744985607) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 107256 + ... + 353544.

Almost surely, 2^56744985600 is an apocalyptic number.

56744985600 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 56744985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101587359445).

56744985600 is an abundant number, since it is smaller than the sum of its proper divisors (146429733290).

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

56744985600 is a wasteful number, since it uses less digits than its factorization.

56744985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246325 (or 246299 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56744985600 in words is "fifty-six billion, seven hundred forty-four million, nine hundred eighty-five thousand, six hundred".