79021117086720 has 704 divisors, whose sum is σ = 264705776603136. Its totient is φ = 20096860815360.

The previous prime is 79021117086719. The next prime is 79021117086739. The reversal of 79021117086720 is 2768071112097.

79021117086720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×79021117086720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10036972704 + ... + 10036980576.

It is an arithmetic number, because the mean of its divisors is an integer number (376002523584).

Almost surely, 2^{79021117086720} 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 79021117086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132352888301568).

79021117086720 is an abundant number, since it is smaller than the sum of its proper divisors (185684659516416).

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

79021117086720 is a wasteful number, since it uses less digits than its factorization.

79021117086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 51.

The spelling of 79021117086720 in words is "seventy-nine trillion, twenty-one billion, one hundred seventeen million, eighty-six thousand, seven hundred twenty".