57169229775392 has 288 divisors, whose sum is σ = 135545157457920. Its totient is φ = 23641759733760.

The previous prime is 57169229775349. The next prime is 57169229775421. The reversal of 57169229775392 is 29357792296175.

57169229775392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57169229775392² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40175143193 + ... + 40175144615.

It is an arithmetic number, because the mean of its divisors is an integer number (470642907840).

Almost surely, 2^{57169229775392} 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 57169229775392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67772578728960).

57169229775392 is an abundant number, since it is smaller than the sum of its proper divisors (78375927682528).

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

57169229775392 is a wasteful number, since it uses less digits than its factorization.

57169229775392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3289 counting only the distinct ones).

The product of its digits is 900169200, while the sum is 74.

The spelling of 57169229775392 in words is "fifty-seven trillion, one hundred sixty-nine billion, two hundred twenty-nine million, seven hundred seventy-five thousand, three hundred ninety-two".