57349966335984 has 480 divisors, whose sum is σ = 193141890699264. Its totient is φ = 15539926671360.

The previous prime is 57349966335983. The next prime is 57349966335997. The reversal of 57349966335984 is 48953366994375.

57349966335984 is a `hidden beast` number, since 5 + 7 + 3 + 49 + 96 + 63 + 359 + 84 = 666.

57349966335984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57349966335983) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1462355544 + ... + 1462394760.

Almost surely, 2^{57349966335984} 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 57349966335984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96570945349632).

57349966335984 is an abundant number, since it is smaller than the sum of its proper divisors (135791924363280).

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

57349966335984 is a wasteful number, since it uses less digits than its factorization.

57349966335984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40205 (or 40196 counting only the distinct ones).

The product of its digits is 15872371200, while the sum is 81.

The spelling of 57349966335984 in words is "fifty-seven trillion, three hundred forty-nine billion, nine hundred sixty-six million, three hundred thirty-five thousand, nine hundred eighty-four".