79957411207128 has 512 divisors, whose sum is σ = 275443096320000. Its totient is φ = 20927001618432.

The previous prime is 79957411207103. The next prime is 79957411207169. The reversal of 79957411207128 is 82170211475997.

79957411207128 is a `hidden beast` number, since 7 + 9 + 9 + 5 + 7 + 411 + 207 + 1 + 2 + 8 = 666.

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 127 ways as a sum of consecutive naturals, for example, 8494355350 + ... + 8494364762.

It is an arithmetic number, because the mean of its divisors is an integer number (537974797500).

Almost surely, 2^{79957411207128} is an apocalyptic number.

79957411207128 is a gapful number since it is divisible by the number (78) 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 79957411207128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137721548160000).

79957411207128 is an abundant number, since it is smaller than the sum of its proper divisors (195485685112872).

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

79957411207128 is a wasteful number, since it uses less digits than its factorization.

79957411207128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12696 (or 12686 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 79957411207128 in words is "seventy-nine trillion, nine hundred fifty-seven billion, four hundred eleven million, two hundred seven thousand, one hundred twenty-eight".