79548580224 has 128 divisors (see below), whose sum is σ = 239209135200. Its totient is φ = 26015827968.

The previous prime is 79548580219. The next prime is 79548580283. The reversal of 79548580224 is 42208584597.

79548580224 is a `hidden beast` number, since 7 + 9 + 54 + 8 + 580 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 33979 + ... + 400314.

Almost surely, 2^79548580224 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 79548580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119604567600).

79548580224 is an abundant number, since it is smaller than the sum of its proper divisors (159660554976).

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

79548580224 is a wasteful number, since it uses less digits than its factorization.

79548580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434369 (or 434351 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 79548580224 in words is "seventy-nine billion, five hundred forty-eight million, five hundred eighty thousand, two hundred twenty-four".