56557800 has 144 divisors (see below), whose sum is σ = 204635340. Its totient is φ = 13916160.

The previous prime is 56557789. The next prime is 56557807. The reversal of 56557800 is 875565.

It can be written as a sum of positive squares in 6 ways, for example, as 26811684 + 29746116 = 5178^2 + 5454^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56557807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22192 + ... + 24608.

Almost surely, 2^56557800 is an apocalyptic number.

56557800 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 56557800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102317670).

56557800 is an abundant number, since it is smaller than the sum of its proper divisors (148077540).

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

56557800 is a wasteful number, since it uses less digits than its factorization.

56557800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 56557800 is about 7520.4920051816. The cubic root of 56557800 is about 383.8523195137.

The spelling of 56557800 in words is "fifty-six million, five hundred fifty-seven thousand, eight hundred".