79028087685120 has 1920 divisors, whose sum is σ = 334169611776000. Its totient is φ = 17538666725376.

The previous prime is 79028087685109. The next prime is 79028087685161. The reversal of 79028087685120 is 2158678082097.

79028087685120 is a `hidden beast` number, since 7 + 90 + 28 + 0 + 8 + 7 + 6 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164985569041 + ... + 164985569519.

It is an arithmetic number, because the mean of its divisors is an integer number (174046672800).

Almost surely, 2^{79028087685120} is an apocalyptic number.

79028087685120 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 79028087685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167084805888000).

79028087685120 is an abundant number, since it is smaller than the sum of its proper divisors (255141524090880).

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

79028087685120 is an frugal number, since it uses more digits than its factorization.

79028087685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 79028087685120 in words is "seventy-nine trillion, twenty-eight billion, eighty-seven million, six hundred eighty-five thousand, one hundred twenty".