57540495376 has 135 divisors (see below), whose sum is σ = 140642956701. Its totient is φ = 22728730752.

The previous prime is 57540495371. The next prime is 57540495427. The reversal of 57540495376 is 67359404575.

It is a happy number.

The square root of 57540495376 is 239876.

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., 8511907600 + 49028587776 = 92260^2 + 221424^2 .

It is not an unprimeable number, because it can be changed into a prime (57540495371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87314535 + ... + 87315193.

Almost surely, 2^57540495376 is an apocalyptic number.

57540495376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

57540495376 is the 239876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57540495376

57540495376 is an abundant number, since it is smaller than the sum of its proper divisors (83102461325).

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

57540495376 is an equidigital number, since it uses as much as digits as its factorization.

57540495376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 55.

The spelling of 57540495376 in words is "fifty-seven billion, five hundred forty million, four hundred ninety-five thousand, three hundred seventy-six".