79812177020928 has 576 divisors, whose sum is σ = 254617042680000. Its totient is φ = 24083369164800.

The previous prime is 79812177020867. The next prime is 79812177020959. The reversal of 79812177020928 is 82902077121897.

79812177020928 is a `hidden beast` number, since 79 + 81 + 217 + 70 + 209 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5912444323 + ... + 5912457821.

It is an arithmetic number, because the mean of its divisors is an integer number (442043476875).

Almost surely, 2^{79812177020928} 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 79812177020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127308521340000).

79812177020928 is an abundant number, since it is smaller than the sum of its proper divisors (174804865659072).

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

79812177020928 is a wasteful number, since it uses less digits than its factorization.

79812177020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13801 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 79812177020928 in words is "seventy-nine trillion, eight hundred twelve billion, one hundred seventy-seven million, twenty thousand, nine hundred twenty-eight".