57840435984100 has 1215 divisors, whose sum is σ = 173054351538971. Its totient is φ = 16763276006400.

The previous prime is 57840435984077. The next prime is 57840435984181. The reversal of 57840435984100 is 148953404875.

The square root of 57840435984100 is 7605290.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1352945838244 + 56487490145856 = 1163162^2 + 7515816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 696872722659 + ... + 696872722741.

Almost surely, 2^{57840435984100} is an apocalyptic number.

57840435984100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57840435984100 is the 7605290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57840435984100

57840435984100 is an abundant number, since it is smaller than the sum of its proper divisors (115213915554871).

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

57840435984100 is a wasteful number, since it uses less digits than its factorization.

57840435984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 57840435984100 in words is "fifty-seven trillion, eight hundred forty billion, four hundred thirty-five million, nine hundred eighty-four thousand, one hundred".