56556200 has 48 divisors (see below), whose sum is σ = 133116480. Its totient is φ = 22343360.

The previous prime is 56556197. The next prime is 56556209. The reversal of 56556200 is 265565.

It is not an unprimeable number, because it can be changed into a prime (56556209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14897 + ... + 18303.

It is an arithmetic number, because the mean of its divisors is an integer number (2773260).

Almost surely, 2^56556200 is an apocalyptic number.

56556200 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 56556200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66558240).

56556200 is an abundant number, since it is smaller than the sum of its proper divisors (76560280).

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

56556200 is a wasteful number, since it uses less digits than its factorization.

56556200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 56556200 is about 7520.3856284103. The cubic root of 56556200 is about 383.8486997978.

It can be divided in two parts, 565 and 56200, that added together give a palindrome (56765).

The spelling of 56556200 in words is "fifty-six million, five hundred fifty-six thousand, two hundred".