12585414528 has 320 divisors, whose sum is σ = 39588199200. Its totient is φ = 3960963072.

The previous prime is 12585414509. The next prime is 12585414533. The reversal of 12585414528 is 82541458521.

12585414528 is a `hidden beast` number, since 1 + 2 + 5 + 85 + 41 + 4 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21223000 + ... + 21223592.

Almost surely, 2^12585414528 is an apocalyptic number.

12585414528 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 12585414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19794099600).

12585414528 is an abundant number, since it is smaller than the sum of its proper divisors (27002784672).

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

12585414528 is an equidigital number, since it uses as much as digits as its factorization.

12585414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 710 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The spelling of 12585414528 in words is "twelve billion, five hundred eighty-five million, four hundred fourteen thousand, five hundred twenty-eight".