12579452928 has 576 divisors, whose sum is σ = 45218234880. Its totient is φ = 3415965696.

The previous prime is 12579452917. The next prime is 12579452959. The reversal of 12579452928 is 82925497521.

12579452928 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 94 + 529 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (3628800) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80123826 + ... + 80123982.

It is an arithmetic number, because the mean of its divisors is an integer number (78503880).

Almost surely, 2^12579452928 is an apocalyptic number.

12579452928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12579452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22609117440).

12579452928 is an abundant number, since it is smaller than the sum of its proper divisors (32638781952).

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

12579452928 is an equidigital number, since it uses as much as digits as its factorization.

12579452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 12579452928 in words is "twelve billion, five hundred seventy-nine million, four hundred fifty-two thousand, nine hundred twenty-eight".