56355156 has 192 divisors, whose sum is σ = 177811200. Its totient is φ = 15206400.

The previous prime is 56355139. The next prime is 56355161. The reversal of 56355156 is 65155365.

56355156 is a `hidden beast` number, since 5 + 635 + 5 + 15 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56355156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633160 + ... + 633248.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^56355156 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 56355156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

56355156 is an abundant number, since it is smaller than the sum of its proper divisors (121456044).

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

56355156 is a wasteful number, since it uses less digits than its factorization.

56355156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 56355156 is about 7507.0071266784. The cubic root of 56355156 is about 383.3933291518.

The spelling of 56355156 in words is "fifty-six million, three hundred fifty-five thousand, one hundred fifty-six".