56509600 has 72 divisors (see below), whose sum is σ = 157677408. Its totient is φ = 19372800.

The previous prime is 56509573. The next prime is 56509631. The reversal of 56509600 is 690565.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555 + ... + 10645.

It is an arithmetic number, because the mean of its divisors is an integer number (2189964).

Almost surely, 2^56509600 is an apocalyptic number.

56509600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78838704).

56509600 is an abundant number, since it is smaller than the sum of its proper divisors (101167808).

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

56509600 is a wasteful number, since it uses less digits than its factorization.

56509600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 56509600 is about 7517.2867445642. The cubic root of 56509600 is about 383.7432456096.

The spelling of 56509600 in words is "fifty-six million, five hundred nine thousand, six hundred".