57081312356832 has 288 divisors, whose sum is σ = 177769174302720. Its totient is φ = 17306841646080.

The previous prime is 57081312356771. The next prime is 57081312356891. The reversal of 57081312356832 is 23865321318075.

57081312356832 is a `hidden beast` number, since 5 + 70 + 8 + 1 + 3 + 1 + 2 + 3 + 568 + 3 + 2 = 666.

57081312356832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 20218458 + ... + 22868070.

It is an arithmetic number, because the mean of its divisors is an integer number (617254077440).

Almost surely, 2^{57081312356832} 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 57081312356832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884587151360).

57081312356832 is an abundant number, since it is smaller than the sum of its proper divisors (120687861945888).

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

57081312356832 is a wasteful number, since it uses less digits than its factorization.

57081312356832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649806 (or 2649795 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 57081312356832 in words is "fifty-seven trillion, eighty-one billion, three hundred twelve million, three hundred fifty-six thousand, eight hundred thirty-two".