57200256000 has 616 divisors, whose sum is σ = 214304343864. Its totient is φ = 15228518400.

The previous prime is 57200255999. The next prime is 57200256007. The reversal of 57200256000 is 65200275.

57200256000 is a `hidden beast` number, since 57 + 2 + 0 + 0 + 2 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17020855296 + 40179400704 = 130464^2 + 200448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (57200256007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311694 + ... + 93312306.

Almost surely, 2^57200256000 is an apocalyptic number.

57200256000 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 57200256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107152171932).

57200256000 is an abundant number, since it is smaller than the sum of its proper divisors (157104087864).

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

57200256000 is an frugal number, since it uses more digits than its factorization.

57200256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 57200256000 its reverse (65200275), we get a palindrome (57265456275).

The spelling of 57200256000 in words is "fifty-seven billion, two hundred million, two hundred fifty-six thousand".