12590966304 has 216 divisors, whose sum is σ = 41814710028. Its totient is φ = 3583319040.

The previous prime is 12590966243. The next prime is 12590966321. The reversal of 12590966304 is 40366909521.

12590966304 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 0 + 9 + 6 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12575379600 + 15586704 = 112140^2 + 3948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12590966304.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3907414 + ... + 3910634.

Almost surely, 2^12590966304 is an apocalyptic number.

12590966304 is a gapful number since it is divisible by the number (14) 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 12590966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20907355014).

12590966304 is an abundant number, since it is smaller than the sum of its proper divisors (29223743724).

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

12590966304 is a wasteful number, since it uses less digits than its factorization.

12590966304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12590966304 in words is "twelve billion, five hundred ninety million, nine hundred sixty-six thousand, three hundred four".