79648165104300 has 1080 divisors, whose sum is σ = 294955488828000. Its totient is φ = 18478732124160.

The previous prime is 79648165104293. The next prime is 79648165104377. The reversal of 79648165104300 is 340156184697.

79648165104300 is a `hidden beast` number, since 7 + 9 + 6 + 4 + 81 + 6 + 510 + 43 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7564641436 + ... + 7564651964.

It is an arithmetic number, because the mean of its divisors is an integer number (273106934100).

Almost surely, 2^{79648165104300} 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 79648165104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147477744414000).

79648165104300 is an abundant number, since it is smaller than the sum of its proper divisors (215307323723700).

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

79648165104300 is a wasteful number, since it uses less digits than its factorization.

79648165104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 79648165104300 in words is "seventy-nine trillion, six hundred forty-eight billion, one hundred sixty-five million, one hundred four thousand, three hundred".