57564938340 has 432 divisors, whose sum is σ = 221243808240. Its totient is φ = 12006973440.

The previous prime is 57564938303. The next prime is 57564938369. The reversal of 57564938340 is 4383946575.

57564938340 is a `hidden beast` number, since 5 + 7 + 564 + 9 + 38 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 493639524 + 57071298816 = 22218^2 + 238896^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10201920 + ... + 10207560.

It is an arithmetic number, because the mean of its divisors is an integer number (512138445).

Almost surely, 2^57564938340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57564938340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110621904120).

57564938340 is an abundant number, since it is smaller than the sum of its proper divisors (163678869900).

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

57564938340 is a wasteful number, since it uses less digits than its factorization.

57564938340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 57564938340 in words is "fifty-seven billion, five hundred sixty-four million, nine hundred thirty-eight thousand, three hundred forty".