579494916398160 has 960 divisors, whose sum is σ = 2261825593896960. Its totient is φ = 130223801917440.

The previous prime is 579494916398131. The next prime is 579494916398161. The reversal of 579494916398160 is 61893619494975.

579494916398160 is a `hidden beast` number, since 5 + 7 + 9 + 4 + 9 + 491 + 63 + 9 + 8 + 1 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 579494916398160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579494916398161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255621929347 + ... + 255621931613.

It is an arithmetic number, because the mean of its divisors is an integer number (2356068326976).

Almost surely, 2^{579494916398160} 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 579494916398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130912796948480).

579494916398160 is an abundant number, since it is smaller than the sum of its proper divisors (1682330677498800).

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

579494916398160 is a wasteful number, since it uses less digits than its factorization.

579494916398160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

The spelling of 579494916398160 in words is "five hundred seventy-nine trillion, four hundred ninety-four billion, nine hundred sixteen million, three hundred ninety-eight thousand, one hundred sixty".