56058160 has 80 divisors (see below), whose sum is σ = 137089440. Its totient is φ = 21288960.

The previous prime is 56058157. The next prime is 56058173. The reversal of 56058160 is 6185065.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×56058160³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169195 + ... + 169525.

It is an arithmetic number, because the mean of its divisors is an integer number (1713618).

Almost surely, 2^56058160 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 56058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544720).

56058160 is an abundant number, since it is smaller than the sum of its proper divisors (81031280).

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

56058160 is a wasteful number, since it uses less digits than its factorization.

56058160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 56058160 is about 7487.1997435623. The cubic root of 56058160 is about 382.7186384402.

The spelling of 56058160 in words is "fifty-six million, fifty-eight thousand, one hundred sixty".