56059200 has 252 divisors, whose sum is σ = 211889340. Its totient is φ = 14008320.

The previous prime is 56059193. The next prime is 56059207. The reversal of 56059200 is 295065.

It is an interprime number because it is at equal distance from previous prime (56059193) and next prime (56059207).

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 52186176 = 1968^2 + 7224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56059207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244686 + ... + 244914.

Almost surely, 2^56059200 is an apocalyptic number.

56059200 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 56059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105944670).

56059200 is an abundant number, since it is smaller than the sum of its proper divisors (155830140).

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

56059200 is a wasteful number, since it uses less digits than its factorization.

56059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56059200 is about 7487.2691951071. The cubic root of 56059200 is about 382.7210051781.

The spelling of 56059200 in words is "fifty-six million, fifty-nine thousand, two hundred".