12590267904 has 120 divisors (see below), whose sum is σ = 37181982552. Its totient is φ = 4099092480.

The previous prime is 12590267897. The next prime is 12590267909. The reversal of 12590267904 is 40976209521.

It is a self number, because there is not a number n which added to its sum of digits gives 12590267904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12590267909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166374 + ... + 229914.

Almost surely, 2^12590267904 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 12590267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590991276).

12590267904 is an abundant number, since it is smaller than the sum of its proper divisors (24591714648).

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

12590267904 is an equidigital number, since it uses as much as digits as its factorization.

12590267904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63608 (or 63589 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12590267904 in words is "twelve billion, five hundred ninety million, two hundred sixty-seven thousand, nine hundred four".