79013122368180 has 768 divisors, whose sum is σ = 314852287389696. Its totient is φ = 14248729313280.

The previous prime is 79013122368157. The next prime is 79013122368289. The reversal of 79013122368180 is 8186322131097.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 972991459 + ... + 973072661.

It is an arithmetic number, because the mean of its divisors is an integer number (409963915872).

Almost surely, 2^{79013122368180} is an apocalyptic number.

79013122368180 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 79013122368180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157426143694848).

79013122368180 is an abundant number, since it is smaller than the sum of its proper divisors (235839165021516).

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

79013122368180 is a wasteful number, since it uses less digits than its factorization.

79013122368180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82216 (or 82214 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 79013122368180 in words is "seventy-nine trillion, thirteen billion, one hundred twenty-two million, three hundred sixty-eight thousand, one hundred eighty".