57794135314896 has 240 divisors, whose sum is σ = 170870579582976. Its totient is φ = 18198546372864.

The previous prime is 57794135314879. The next prime is 57794135314973. The reversal of 57794135314896 is 69841353149775.

57794135314896 is a `hidden beast` number, since 5 + 7 + 7 + 9 + 4 + 1 + 3 + 531 + 4 + 89 + 6 = 666.

57794135314896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 793588341 + ... + 793661163.

Almost surely, 2^{57794135314896} 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 57794135314896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85435289791488).

57794135314896 is an abundant number, since it is smaller than the sum of its proper divisors (113076444268080).

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

57794135314896 is a wasteful number, since it uses less digits than its factorization.

57794135314896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75830 (or 75821 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 57794135314896 in words is "fifty-seven trillion, seven hundred ninety-four billion, one hundred thirty-five million, three hundred fourteen thousand, eight hundred ninety-six".