79458042396096 has 1344 divisors, whose sum is σ = 305482446517248. Its totient is φ = 19151628926976.

The previous prime is 79458042396077. The next prime is 79458042396097. The reversal of 79458042396096 is 69069324085497.

79458042396096 is a `hidden beast` number, since 7 + 9 + 4 + 5 + 8 + 0 + 4 + 2 + 3 + 9 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79458042396097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6628678615 + ... + 6628690601.

It is an arithmetic number, because the mean of its divisors is an integer number (227293486992).

Almost surely, 2^{79458042396096} 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 79458042396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152741223258624).

79458042396096 is an abundant number, since it is smaller than the sum of its proper divisors (226024404121152).

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

79458042396096 is a wasteful number, since it uses less digits than its factorization.

79458042396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 79458042396096 in words is "seventy-nine trillion, four hundred fifty-eight billion, forty-two million, three hundred ninety-six thousand, ninety-six".