12588585984 has 264 divisors, whose sum is σ = 39431115360. Its totient is φ = 3845210112.

The previous prime is 12588585967. The next prime is 12588585991. The reversal of 12588585984 is 48958588521.

It is a super-2 number, since 2×12588585984² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21445339 + ... + 21445925.

Almost surely, 2^12588585984 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 12588585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715557680).

12588585984 is an abundant number, since it is smaller than the sum of its proper divisors (26842529376).

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

12588585984 is a wasteful number, since it uses less digits than its factorization.

12588585984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 63.

The spelling of 12588585984 in words is "twelve billion, five hundred eighty-eight million, five hundred eighty-five thousand, nine hundred eighty-four".