57369830400 has 297 divisors, whose sum is σ = 205823604441. Its totient is φ = 15267962880.

The previous prime is 57369830393. The next prime is 57369830471. The reversal of 57369830400 is 403896375.

The square root of 57369830400 is 239520.

It is a perfect power (a square), and thus also a powerful number.

57369830400 is a `hidden beast` number, since 573 + 6 + 9 + 8 + 30 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20653138944 + 36716691456 = 143712^2 + 191616^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114969351 + ... + 114969849.

Almost surely, 2^57369830400 is an apocalyptic number.

57369830400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57369830400 is the 239520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57369830400

57369830400 is an abundant number, since it is smaller than the sum of its proper divisors (148453774041).

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

57369830400 is an equidigital number, since it uses as much as digits as its factorization.

57369830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57369830400 in words is "fifty-seven billion, three hundred sixty-nine million, eight hundred thirty thousand, four hundred".