79934130244800 has 2016 divisors, whose sum is σ = 326674923341760. Its totient is φ = 18991389081600.

The previous prime is 79934130244789. The next prime is 79934130244817. The reversal of 79934130244800 is 844203143997.

79934130244800 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 4 + 130 + 24 + 480 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29035280224 + ... + 29035282976.

It is an arithmetic number, because the mean of its divisors is an integer number (162041132610).

Almost surely, 2^{79934130244800} 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 79934130244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163337461670880).

79934130244800 is an abundant number, since it is smaller than the sum of its proper divisors (246740793096960).

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

79934130244800 is a wasteful number, since it uses less digits than its factorization.

79934130244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 79934130244800 in words is "seventy-nine trillion, nine hundred thirty-four billion, one hundred thirty million, two hundred forty-four thousand, eight hundred".