56899200 has 96 divisors (see below), whose sum is σ = 187443360. Its totient is φ = 15170560.

The previous prime is 56899177. The next prime is 56899211. The reversal of 56899200 is 299865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6637 + ... + 12563.

It is an arithmetic number, because the mean of its divisors is an integer number (1952535).

Almost surely, 2^56899200 is an apocalyptic number.

56899200 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 56899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

56899200 is an abundant number, since it is smaller than the sum of its proper divisors (130544160).

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

56899200 is a wasteful number, since it uses less digits than its factorization.

56899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 56899200 is about 7543.1558382417. The cubic root of 56899200 is about 384.6231202547.

The spelling of 56899200 in words is "fifty-six million, eight hundred ninety-nine thousand, two hundred".