56559360 has 288 divisors, whose sum is σ = 214276608. Its totient is φ = 12533760.

The previous prime is 56559353. The next prime is 56559361. The reversal of 56559360 is 6395565.

It is a super-2 number, since 2×56559360² = 6397922407219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56559361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 549069 + ... + 549171.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^56559360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304).

56559360 is an abundant number, since it is smaller than the sum of its proper divisors (157717248).

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

56559360 is a wasteful number, since it uses less digits than its factorization.

56559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 56559360 is about 7520.5957210849. The cubic root of 56559360 is about 383.8558486710.

The spelling of 56559360 in words is "fifty-six million, five hundred fifty-nine thousand, three hundred sixty".