57098058304 has 189 divisors, whose sum is σ = 140571759369. Its totient is φ = 22939392000.

The previous prime is 57098058293. The next prime is 57098058307. The reversal of 57098058304 is 40385089075.

The square root of 57098058304 is 238952.

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

It can be written as a sum of positive squares in only one way, i.e., 44453505600 + 12644552704 = 210840^2 + 112448^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57098058307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227482179 + ... + 227482429.

Almost surely, 2^57098058304 is an apocalyptic number.

57098058304 is the 238952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57098058304

57098058304 is an abundant number, since it is smaller than the sum of its proper divisors (83473701065).

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

57098058304 is an equidigital number, since it uses as much as digits as its factorization.

57098058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 57098058304 by its sum of digits (49), we get a square (2797804856896 = 1672664²).

57098058304 divided by its sum of digits (49) gives a square (1165266496 = 34136²).

The spelling of 57098058304 in words is "fifty-seven billion, ninety-eight million, fifty-eight thousand, three hundred four".