56557722744900 has 216 divisors, whose sum is σ = 190925192549000. Its totient is φ = 13921065492480.

The previous prime is 56557722744869. The next prime is 56557722744907. The reversal of 56557722744900 is 944722775565.

It is a happy number.

56557722744900 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 7 + 72 + 2 + 74 + 490 + 0 = 666.

56557722744900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 45440352974916 + 11117369769984 = 6740946^2 + 3334272^2 .

It is not an unprimeable number, because it can be changed into a prime (56557722744907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207527124 + ... + 207799476.

Almost surely, 2^{56557722744900} is an apocalyptic number.

56557722744900 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 56557722744900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95462596274500).

56557722744900 is an abundant number, since it is smaller than the sum of its proper divisors (134367469804100).

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

56557722744900 is a wasteful number, since it uses less digits than its factorization.

56557722744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290135 (or 290125 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 56557722744900 in words is "fifty-six trillion, five hundred fifty-seven billion, seven hundred twenty-two million, seven hundred forty-four thousand, nine hundred".