12583679328 has 288 divisors, whose sum is σ = 42103152000. Its totient is φ = 3523737600.

The previous prime is 12583679267. The next prime is 12583679357. The reversal of 12583679328 is 82397638521.

12583679328 is a `hidden beast` number, since 1 + 258 + 3 + 67 + 9 + 328 = 666.

12583679328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 112177²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2465323 + ... + 2470421.

It is an arithmetic number, because the mean of its divisors is an integer number (146191500).

Almost surely, 2^12583679328 is an apocalyptic number.

12583679328 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 12583679328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576000).

12583679328 is an abundant number, since it is smaller than the sum of its proper divisors (29519472672).

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

12583679328 is a wasteful number, since it uses less digits than its factorization.

12583679328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5175 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12583679328 in words is "twelve billion, five hundred eighty-three million, six hundred seventy-nine thousand, three hundred twenty-eight".