56505216 has 128 divisors (see below), whose sum is σ = 159536160. Its totient is φ = 17694720.

The previous prime is 56505209. The next prime is 56505217. The reversal of 56505216 is 61250565.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56505217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582480 + ... + 582576.

Almost surely, 2^56505216 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 56505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768080).

56505216 is an abundant number, since it is smaller than the sum of its proper divisors (103030944).

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

56505216 is a wasteful number, since it uses less digits than its factorization.

56505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 56505216 is about 7516.9951443379. The cubic root of 56505216 is about 383.7333217861.

The spelling of 56505216 in words is "fifty-six million, five hundred five thousand, two hundred sixteen".