56851200 has 432 divisors, whose sum is σ = 243317760. Its totient is φ = 12718080.

The previous prime is 56851199. The next prime is 56851217. The reversal of 56851200 is 215865.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209577 + ... + 1209623.

Almost surely, 2^56851200 is an apocalyptic number.

56851200 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 56851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

56851200 is an abundant number, since it is smaller than the sum of its proper divisors (186466560).

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

56851200 is a wasteful number, since it uses less digits than its factorization.

56851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 56851200 is about 7539.9734747544. The cubic root of 56851200 is about 384.5149341778.

The spelling of 56851200 in words is "fifty-six million, eight hundred fifty-one thousand, two hundred".