57115094400 has 2304 divisors, whose sum is σ = 279915417600. Its totient is φ = 10749542400.

The previous prime is 57115094383. The next prime is 57115094417. The reversal of 57115094400 is 449051175.

57115094400 is a `hidden beast` number, since 57 + 115 + 0 + 94 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (57115094383) and next prime (57115094417).

It is a super-2 number, since 2×57115094400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1543651182 + ... + 1543651218.

Almost surely, 2^57115094400 is an apocalyptic number.

57115094400 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 57115094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139957708800).

57115094400 is an abundant number, since it is smaller than the sum of its proper divisors (222800323200).

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

57115094400 is a wasteful number, since it uses less digits than its factorization.

57115094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 57115094400 in words is "fifty-seven billion, one hundred fifteen million, ninety-four thousand, four hundred".