79257681216 has 336 divisors, whose sum is σ = 269002581120. Its totient is φ = 21840445440.

The previous prime is 79257681179. The next prime is 79257681229. The reversal of 79257681216 is 61218675297.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14710075 + ... + 14715461.

It is an arithmetic number, because the mean of its divisors is an integer number (800602920).

Almost surely, 2^79257681216 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 79257681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134501290560).

79257681216 is an abundant number, since it is smaller than the sum of its proper divisors (189744899904).

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

79257681216 is a wasteful number, since it uses less digits than its factorization.

79257681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5529 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 79257681216 in words is "seventy-nine billion, two hundred fifty-seven million, six hundred eighty-one thousand, two hundred sixteen".