56509920 has 192 divisors, whose sum is σ = 201277440. Its totient is φ = 14805504.

The previous prime is 56509913. The next prime is 56509949. The reversal of 56509920 is 2990565.

56509920 is a `hidden beast` number, since 565 + 0 + 9 + 92 + 0 = 666.

56509920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444897 + ... + 445023.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^56509920 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 56509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

56509920 is an abundant number, since it is smaller than the sum of its proper divisors (144767520).

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

56509920 is a wasteful number, since it uses less digits than its factorization.

56509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 56509920 is about 7517.3080288092. The cubic root of 56509920 is about 383.7439699562.

The spelling of 56509920 in words is "fifty-six million, five hundred nine thousand, nine hundred twenty".