57294338400 has 432 divisors, whose sum is σ = 230380192224. Its totient is φ = 13273251840.

The previous prime is 57294338399. The next prime is 57294338407. The reversal of 57294338400 is 483349275.

57294338400 is a `hidden beast` number, since 572 + 9 + 4 + 3 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57294338407) 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, 1573197 + ... + 1609203.

It is an arithmetic number, because the mean of its divisors is an integer number (533287482).

Almost surely, 2^57294338400 is an apocalyptic number.

57294338400 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 57294338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115190096112).

57294338400 is an abundant number, since it is smaller than the sum of its proper divisors (173085853824).

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

57294338400 is a wasteful number, since it uses less digits than its factorization.

57294338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36063 (or 36047 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57294338400 in words is "fifty-seven billion, two hundred ninety-four million, three hundred thirty-eight thousand, four hundred".