57723970560 has 704 divisors, whose sum is σ = 205908417792. Its totient is φ = 13740539904.

The previous prime is 57723970559. The next prime is 57723970567. The reversal of 57723970560 is 6507932775.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (57723970567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595092432 + ... + 595092528.

It is an arithmetic number, because the mean of its divisors is an integer number (292483548).

Almost surely, 2^57723970560 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 57723970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102954208896).

57723970560 is an abundant number, since it is smaller than the sum of its proper divisors (148184447232).

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

57723970560 is a wasteful number, since it uses less digits than its factorization.

57723970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 51.

The spelling of 57723970560 in words is "fifty-seven billion, seven hundred twenty-three million, nine hundred seventy thousand, five hundred sixty".