56575488200 has 288 divisors, whose sum is σ = 167630342400. Its totient is φ = 17559360000.

The previous prime is 56575488191. The next prime is 56575488209. The reversal of 56575488200 is 288457565.

It is an interprime number because it is at equal distance from previous prime (56575488191) and next prime (56575488209).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (56575488209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28997225 + ... + 28999175.

It is an arithmetic number, because the mean of its divisors is an integer number (582049800).

Almost surely, 2^56575488200 is an apocalyptic number.

56575488200 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 56575488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83815171200).

56575488200 is an abundant number, since it is smaller than the sum of its proper divisors (111054854200).

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

56575488200 is a wasteful number, since it uses less digits than its factorization.

56575488200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 50.

The spelling of 56575488200 in words is "fifty-six billion, five hundred seventy-five million, four hundred eighty-eight thousand, two hundred".