79970587075584 has 880 divisors, whose sum is σ = 257486686617600. Its totient is φ = 24643274194944.

The previous prime is 79970587075553. The next prime is 79970587075597. The reversal of 79970587075584 is 48557078507997.

79970587075584 is a `hidden beast` number, since 7 + 9 + 9 + 7 + 0 + 58 + 7 + 0 + 7 + 558 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28368422527 + ... + 28368425345.

It is an arithmetic number, because the mean of its divisors is an integer number (292598507520).

Almost surely, 2^{79970587075584} 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 79970587075584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128743343308800).

79970587075584 is an abundant number, since it is smaller than the sum of its proper divisors (177516099542016).

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

79970587075584 is a wasteful number, since it uses less digits than its factorization.

79970587075584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 6223392000, while the sum is 81.

The spelling of 79970587075584 in words is "seventy-nine trillion, nine hundred seventy billion, five hundred eighty-seven million, seventy-five thousand, five hundred eighty-four".