57256243200 has 1092 divisors, whose sum is σ = 233129948520. Its totient is φ = 13854965760.

The previous prime is 57256243183. The next prime is 57256243201. The reversal of 57256243200 is 234265275.

57256243200 is a `hidden beast` number, since 5 + 7 + 2 + 5 + 624 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57256243201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 970444771 + ... + 970444829.

Almost surely, 2^57256243200 is an apocalyptic number.

57256243200 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 57256243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116564974260).

57256243200 is an abundant number, since it is smaller than the sum of its proper divisors (175873705320).

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

57256243200 is an equidigital number, since it uses as much as digits as its factorization.

57256243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57256243200 in words is "fifty-seven billion, two hundred fifty-six million, two hundred forty-three thousand, two hundred".