79975934514432 has 864 divisors, whose sum is σ = 259288164495360. Its totient is φ = 23499001774080.

The previous prime is 79975934514271. The next prime is 79975934514451. The reversal of 79975934514432 is 23441543957997.

79975934514432 is a `hidden beast` number, since 7 + 9 + 9 + 75 + 9 + 3 + 4 + 514 + 4 + 32 = 666.

79975934514432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143583365098 + ... + 143583365654.

It is an arithmetic number, because the mean of its divisors is an integer number (300102042240).

Almost surely, 2^{79975934514432} is an apocalyptic number.

79975934514432 is a gapful number since it is divisible by the number (72) 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 79975934514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129644082247680).

79975934514432 is an abundant number, since it is smaller than the sum of its proper divisors (179312229980928).

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

79975934514432 is a wasteful number, since it uses less digits than its factorization.

79975934514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1342 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 79975934514432 in words is "seventy-nine trillion, nine hundred seventy-five billion, nine hundred thirty-four million, five hundred fourteen thousand, four hundred thirty-two".