57117832992 has 480 divisors, whose sum is σ = 194799971520. Its totient is φ = 16251217920.

The previous prime is 57117832987. The next prime is 57117833051. The reversal of 57117832992 is 29923871175.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30592443 + ... + 30594309.

It is an arithmetic number, because the mean of its divisors is an integer number (405833274).

Almost surely, 2^57117832992 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 57117832992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97399985760).

57117832992 is an abundant number, since it is smaller than the sum of its proper divisors (137682138528).

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

57117832992 is a wasteful number, since it uses less digits than its factorization.

57117832992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1949 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 57117832992 in words is "fifty-seven billion, one hundred seventeen million, eight hundred thirty-two thousand, nine hundred ninety-two".