57686272270848 has 640 divisors, whose sum is σ = 192226630041600. Its totient is φ = 16959493324800.

The previous prime is 57686272270841. The next prime is 57686272270871. The reversal of 57686272270848 is 84807227268675.

It is a happy number.

57686272270848 is a `hidden beast` number, since 5 + 7 + 6 + 8 + 6 + 272 + 270 + 84 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57686272270841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 440049153 + ... + 440180223.

It is an arithmetic number, because the mean of its divisors is an integer number (300354109440).

Almost surely, 2^{57686272270848} 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 57686272270848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96113315020800).

57686272270848 is an abundant number, since it is smaller than the sum of its proper divisors (134540357770752).

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

57686272270848 is a wasteful number, since it uses less digits than its factorization.

57686272270848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131221 (or 131199 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 57686272270848 in words is "fifty-seven trillion, six hundred eighty-six billion, two hundred seventy-two million, two hundred seventy thousand, eight hundred forty-eight".