79460159893248 has 1152 divisors, whose sum is σ = 252093839155200. Its totient is φ = 22032063922176.

The previous prime is 79460159893217. The next prime is 79460159893273. The reversal of 79460159893248 is 84239895106497.

It is a self number, because there is not a number n which added to its sum of digits gives 79460159893248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46117329315 + ... + 46117331037.

It is an arithmetic number, because the mean of its divisors is an integer number (218831457600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅79460159893248 = 158920319786496, but 3⋅79460159893248 = 238380479679744 is not.

Almost surely, 2^{79460159893248} 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 79460159893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126046919577600).

79460159893248 is an abundant number, since it is smaller than the sum of its proper divisors (172633679261952).

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

79460159893248 is a wasteful number, since it uses less digits than its factorization.

79460159893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 75.

The spelling of 79460159893248 in words is "seventy-nine trillion, four hundred sixty billion, one hundred fifty-nine million, eight hundred ninety-three thousand, two hundred forty-eight".