57306237272064 has 384 divisors, whose sum is σ = 188451082872000. Its totient is φ = 16610481930240.

The previous prime is 57306237272023. The next prime is 57306237272113. The reversal of 57306237272064 is 46027273260375.

57306237272064 is a `hidden beast` number, since 5 + 7 + 3 + 0 + 62 + 372 + 7 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 57306237272064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74228712 + ... + 74996760.

Almost surely, 2^{57306237272064} 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 57306237272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94225541436000).

57306237272064 is an abundant number, since it is smaller than the sum of its proper divisors (131144845599936).

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

57306237272064 is a wasteful number, since it uses less digits than its factorization.

57306237272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768119 (or 768088 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 57306237272064 in words is "fifty-seven trillion, three hundred six billion, two hundred thirty-seven million, two hundred seventy-two thousand, sixty-four".