12579647328 has 336 divisors, whose sum is σ = 38522478960. Its totient is φ = 4040036352.

The previous prime is 12579647317. The next prime is 12579647359. The reversal of 12579647328 is 82374697521.

It is a happy number.

12579647328 is a `hidden beast` number, since 1 + 2 + 579 + 6 + 47 + 3 + 28 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 141344308 + ... + 141344396.

It is an arithmetic number, because the mean of its divisors is an integer number (114650235).

Almost surely, 2^12579647328 is an apocalyptic number.

12579647328 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 12579647328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19261239480).

12579647328 is an abundant number, since it is smaller than the sum of its proper divisors (25942831632).

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

12579647328 is an frugal number, since it uses more digits than its factorization.

12579647328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12579647328 in words is "twelve billion, five hundred seventy-nine million, six hundred forty-seven thousand, three hundred twenty-eight".