79128638657280 has 576 divisors, whose sum is σ = 289933204377600. Its totient is φ = 20414765629440.

The previous prime is 79128638657251. The next prime is 79128638657303. The reversal of 79128638657280 is 8275683682197.

79128638657280 is a `hidden beast` number, since 7 + 9 + 1 + 286 + 3 + 8 + 65 + 7 + 280 = 666.

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

It is a super-2 number, since 2×79128638657280² (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 junction number, because it is equal to n+sod(n) for n = 79128638657199 and 79128638657208.

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, 5237871487 + ... + 5237886593.

It is an arithmetic number, because the mean of its divisors is an integer number (503356257600).

Almost surely, 2^{79128638657280} 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 79128638657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144966602188800).

79128638657280 is an abundant number, since it is smaller than the sum of its proper divisors (210804565720320).

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

79128638657280 is a wasteful number, since it uses less digits than its factorization.

79128638657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20057 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 79128638657280 in words is "seventy-nine trillion, one hundred twenty-eight billion, six hundred thirty-eight million, six hundred fifty-seven thousand, two hundred eighty".