57723125760 has 612 divisors, whose sum is σ = 214837427532. Its totient is φ = 14325645312.

The previous prime is 57723125743. The next prime is 57723125767. The reversal of 57723125760 is 6752132775.

57723125760 is a `hidden beast` number, since 5 + 7 + 72 + 3 + 1 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37754044416 + 19969081344 = 194304^2 + 141312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57723125767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1560084462 + ... + 1560084498.

Almost surely, 2^57723125760 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 57723125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107418713766).

57723125760 is an abundant number, since it is smaller than the sum of its proper divisors (157114301772).

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

57723125760 is an equidigital number, since it uses as much as digits as its factorization.

57723125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 57723125760 in words is "fifty-seven billion, seven hundred twenty-three million, one hundred twenty-five thousand, seven hundred sixty".