57556319841 has 24 divisors (see below), whose sum is σ = 88340643144. Its totient is φ = 35985223680.

The previous prime is 57556319833. The next prime is 57556319927. The reversal of 57556319841 is 14891365575.

57556319841 is a `hidden beast` number, since 5 + 7 + 556 + 3 + 1 + 9 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39728462400 + 17827857441 = 199320^2 + 133521^2 .

It is not a de Polignac number, because 57556319841 - 2³ = 57556319833 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57556319441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626376 + ... + 712361.

It is an arithmetic number, because the mean of its divisors is an integer number (3680860131).

Almost surely, 2^57556319841 is an apocalyptic number.

57556319841 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

57556319841 is a deficient number, since it is larger than the sum of its proper divisors (30784323303).

57556319841 is a wasteful number, since it uses less digits than its factorization.

57556319841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339041 (or 1339038 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 57556319841 in words is "fifty-seven billion, five hundred fifty-six million, three hundred nineteen thousand, eight hundred forty-one".