56057120 has 48 divisors (see below), whose sum is σ = 151357248. Its totient is φ = 19219200.

The previous prime is 56057117. The next prime is 56057123. The reversal of 56057120 is 2175065.

56057120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56057117) and next prime (56057123).

It is a self number, because there is not a number n which added to its sum of digits gives 56057120.

It is not an unprimeable number, because it can be changed into a prime (56057123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23906 + ... + 26145.

It is an arithmetic number, because the mean of its divisors is an integer number (3153276).

Almost surely, 2^56057120 is an apocalyptic number.

It is an amenable number.

56057120 is an abundant number, since it is smaller than the sum of its proper divisors (95300128).

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

56057120 is a wasteful number, since it uses less digits than its factorization.

56057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50073 (or 50065 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 56057120 is about 7487.1302913733. The cubic root of 56057120 is about 382.7162716730.

The spelling of 56057120 in words is "fifty-six million, fifty-seven thousand, one hundred twenty".