79557711022080 has 576 divisors, whose sum is σ = 292046219403120. Its totient is φ = 19961003114496.

The previous prime is 79557711022079. The next prime is 79557711022121. The reversal of 79557711022080 is 8022011775597.

79557711022080 is a `hidden beast` number, since 7 + 9 + 557 + 7 + 1 + 1 + 0 + 2 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43457417266176 + 36100293755904 = 6592224^2 + 6008352^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6544183362 + ... + 6544195518.

Almost surely, 2^{79557711022080} 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 79557711022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146023109701560).

79557711022080 is an abundant number, since it is smaller than the sum of its proper divisors (212488508381040).

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

79557711022080 is a wasteful number, since it uses less digits than its factorization.

79557711022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16384 (or 16361 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 79557711022080 in words is "seventy-nine trillion, five hundred fifty-seven billion, seven hundred eleven million, twenty-two thousand, eighty".