56560000 has 160 divisors (see below), whose sum is σ = 162510480. Its totient is φ = 19200000.

The previous prime is 56559989. The next prime is 56560057. The reversal of 56560000 is 6565.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559950 + ... + 560050.

Almost surely, 2^56560000 is an apocalyptic number.

56560000 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 56560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81255240).

56560000 is an abundant number, since it is smaller than the sum of its proper divisors (105950480).

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

56560000 is an equidigital number, since it uses as much as digits as its factorization.

56560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 56560000 is about 7520.6382707853. The cubic root of 56560000 is about 383.8572965116.

Adding to 56560000 its reverse (6565), we get a palindrome (56566565).

It can be divided in two parts, 56 and 560000, that multiplied together give a square (31360000 = 5600²).

The spelling of 56560000 in words is "fifty-six million, five hundred sixty thousand".