57723859936512 has 2592 divisors, whose sum is σ = 232546627482624. Its totient is φ = 13555571097600.

The previous prime is 57723859936507. The next prime is 57723859936513. The reversal of 57723859936512 is 21563995832775.

57723859936512 is a `hidden beast` number, since 5 + 7 + 7 + 23 + 8 + 59 + 9 + 36 + 512 = 666.

It is a super-2 number, since 2×57723859936512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57723859936513) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 126310415388 + ... + 126310415844.

It is an arithmetic number, because the mean of its divisors is an integer number (89717063072).

Almost surely, 2^{57723859936512} 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 57723859936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116273313741312).

57723859936512 is an abundant number, since it is smaller than the sum of its proper divisors (174822767546112).

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

57723859936512 is a wasteful number, since it uses less digits than its factorization.

57723859936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 721 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 57723859936512 in words is "fifty-seven trillion, seven hundred twenty-three billion, eight hundred fifty-nine million, nine hundred thirty-six thousand, five hundred twelve".