79953359328 has 144 divisors (see below), whose sum is σ = 243448208640. Its totient is φ = 24801435648.

The previous prime is 79953359293. The next prime is 79953359347. The reversal of 79953359328 is 82395335997.

79953359328 is a `hidden beast` number, since 7 + 9 + 9 + 5 + 33 + 593 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×79953359328³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 344001 + ... + 527487.

It is an arithmetic number, because the mean of its divisors is an integer number (1690612560).

Almost surely, 2^79953359328 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 79953359328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121724104320).

79953359328 is an abundant number, since it is smaller than the sum of its proper divisors (163494849312).

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

79953359328 is a wasteful number, since it uses less digits than its factorization.

79953359328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183609 (or 183598 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 79953359328 in words is "seventy-nine billion, nine hundred fifty-three million, three hundred fifty-nine thousand, three hundred twenty-eight".