57355175822400 has 945 divisors, whose sum is σ = 213883275275901. Its totient is φ = 15075874897920.

The previous prime is 57355175822281. The next prime is 57355175822401. The reversal of 57355175822400 is 422857155375.

The square root of 57355175822400 is 7573320.

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

57355175822400 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 5 + 17 + 582 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 40379721086016 + 16975454736384 = 6354504^2 + 4120128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57355175822401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 297177076704 + ... + 297177076896.

Almost surely, 2^{57355175822400} is an apocalyptic number.

57355175822400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57355175822400 is the 7573320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57355175822400

57355175822400 is an abundant number, since it is smaller than the sum of its proper divisors (156528099453501).

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

57355175822400 is an equidigital number, since it uses as much as digits as its factorization.

57355175822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 57355175822400 in words is "fifty-seven trillion, three hundred fifty-five billion, one hundred seventy-five million, eight hundred twenty-two thousand, four hundred".