56575752200 has 180 divisors, whose sum is σ = 145740023325. Its totient is φ = 20424993600.

The previous prime is 56575752187. The next prime is 56575752209. The reversal of 56575752200 is 225757565.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 55444237156 + 1131515044 = 235466^2 + 33638^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=168190.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (56575752209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 407019731 + ... + 407019869.

Almost surely, 2^56575752200 is an apocalyptic number.

56575752200 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 56575752200

56575752200 is an abundant number, since it is smaller than the sum of its proper divisors (89164271125).

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

56575752200 is an equidigital number, since it uses as much as digits as its factorization.

56575752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 44.

The spelling of 56575752200 in words is "fifty-six billion, five hundred seventy-five million, seven hundred fifty-two thousand, two hundred".