12590276790 has 128 divisors (see below), whose sum is σ = 37304773632. Its totient is φ = 2648194560.

The previous prime is 12590276771. The next prime is 12590276821. The reversal of 12590276790 is 9767209521.

12590276790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 896664 + ... + 910596.

It is an arithmetic number, because the mean of its divisors is an integer number (291443544).

Almost surely, 2^12590276790 is an apocalyptic number.

12590276790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12590276790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652386816).

12590276790 is an abundant number, since it is smaller than the sum of its proper divisors (24714496842).

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

12590276790 is a wasteful number, since it uses less digits than its factorization.

12590276790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14294.

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 12590276790 in words is "twelve billion, five hundred ninety million, two hundred seventy-six thousand, seven hundred ninety".