79870075608960 has 3072 divisors, whose sum is σ = 371234132640000. Its totient is φ = 16265347596288.

The previous prime is 79870075608893. The next prime is 79870075609061. The reversal of 79870075608960 is 6980657007897.

79870075608960 is a `hidden beast` number, since 7 + 9 + 8 + 7 + 0 + 0 + 7 + 5 + 608 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×79870075608960² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 25856287096 + ... + 25856290184.

Almost surely, 2^{79870075608960} is an apocalyptic number.

79870075608960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79870075608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185617066320000).

79870075608960 is an abundant number, since it is smaller than the sum of its proper divisors (291364057031040).

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

79870075608960 is a wasteful number, since it uses less digits than its factorization.

79870075608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 79870075608960 in words is "seventy-nine trillion, eight hundred seventy billion, seventy-five million, six hundred eight thousand, nine hundred sixty".