56945779200 has 360 divisors, whose sum is σ = 204374935908. Its totient is φ = 15142256640.

The previous prime is 56945779183. The next prime is 56945779207. The reversal of 56945779200 is 297754965.

56945779200 is a `hidden beast` number, since 5 + 69 + 4 + 577 + 9 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16167631104 + 40778148096 = 127152^2 + 201936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56945779207) 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 35 ways as a sum of consecutive naturals, for example, 75225222 + ... + 75225978.

Almost surely, 2^56945779200 is an apocalyptic number.

56945779200 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 56945779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187467954).

56945779200 is an abundant number, since it is smaller than the sum of its proper divisors (147429156708).

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

56945779200 is a wasteful number, since it uses less digits than its factorization.

56945779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 56945779200 in words is "fifty-six billion, nine hundred forty-five million, seven hundred seventy-nine thousand, two hundred".