56355120 has 120 divisors (see below), whose sum is σ = 195858000. Its totient is φ = 14504448.

The previous prime is 56355113. The next prime is 56355133. The reversal of 56355120 is 2155365.

56355120 is a `hidden beast` number, since 5 + 635 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19531 + ... + 22229.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^56355120 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 56355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97929000).

56355120 is an abundant number, since it is smaller than the sum of its proper divisors (139502880).

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

56355120 is a wasteful number, since it uses less digits than its factorization.

56355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56355120 is about 7507.0047289182. The cubic root of 56355120 is about 383.3932475139.

The spelling of 56355120 in words is "fifty-six million, three hundred fifty-five thousand, one hundred twenty".