12584567688 has 96 divisors (see below), whose sum is σ = 39925107360. Its totient is φ = 3268715520.

The previous prime is 12584567659. The next prime is 12584567689. The reversal of 12584567688 is 88676548521.

It is not an unprimeable number, because it can be changed into a prime (12584567689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473481 + ... + 499352.

It is an arithmetic number, because the mean of its divisors is an integer number (415886535).

Almost surely, 2^12584567688 is an apocalyptic number.

It is an amenable number.

12584567688 is an abundant number, since it is smaller than the sum of its proper divisors (27340539672).

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

12584567688 is a wasteful number, since it uses less digits than its factorization.

12584567688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972867 (or 972856 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 12584567688 in words is "twelve billion, five hundred eighty-four million, five hundred sixty-seven thousand, six hundred eighty-eight".