79128819493920 has 864 divisors, whose sum is σ = 320279899080960. Its totient is φ = 17426227507200.

The previous prime is 79128819493907. The next prime is 79128819493961. The reversal of 79128819493920 is 2939491882197.

It is a happy number.

79128819493920 is a `hidden beast` number, since 7 + 9 + 128 + 8 + 1 + 9 + 493 + 9 + 2 + 0 = 666.

79128819493920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×79128819493920² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2218277685 + ... + 2218313355.

It is an arithmetic number, because the mean of its divisors is an integer number (370694327640).

Almost surely, 2^{79128819493920} is an apocalyptic number.

79128819493920 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 79128819493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160139949540480).

79128819493920 is an abundant number, since it is smaller than the sum of its proper divisors (241151079587040).

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

79128819493920 is a wasteful number, since it uses less digits than its factorization.

79128819493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35990 (or 35948 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 79128819493920 in words is "seventy-nine trillion, one hundred twenty-eight billion, eight hundred nineteen million, four hundred ninety-three thousand, nine hundred twenty".