12590493968 has 40 divisors (see below), whose sum is σ = 26277615000. Its totient is φ = 5809434624.

The previous prime is 12590493961. The next prime is 12590494067. The reversal of 12590493968 is 86939409521.

12590493968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16908544 + 12573585424 = 4112^2 + 112132^2 .

It is not an unprimeable number, because it can be changed into a prime (12590493961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1190528 + ... + 1201056.

It is an arithmetic number, because the mean of its divisors is an integer number (656940375).

Almost surely, 2^12590493968 is an apocalyptic number.

It is an amenable number.

12590493968 is an abundant number, since it is smaller than the sum of its proper divisors (13687121032).

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

12590493968 is a wasteful number, since it uses less digits than its factorization.

12590493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16299 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 12590493968 in words is "twelve billion, five hundred ninety million, four hundred ninety-three thousand, nine hundred sixty-eight".