57894967342080 has 4752 divisors, whose sum is σ = 258686714657280. Its totient is φ = 11912085504000.

The previous prime is 57894967342033. The next prime is 57894967342139. The reversal of 57894967342080 is 8024376949875.

57894967342080 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 496 + 7 + 34 + 20 + 80 = 666.

57894967342080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 949097825250 + ... + 949097825310.

Almost surely, 2^{57894967342080} 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 57894967342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129343357328640).

57894967342080 is an abundant number, since it is smaller than the sum of its proper divisors (200791747315200).

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

57894967342080 is a wasteful number, since it uses less digits than its factorization.

57894967342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 57894967342080 in words is "fifty-seven trillion, eight hundred ninety-four billion, nine hundred sixty-seven million, three hundred forty-two thousand, eighty".