12590682768 has 100 divisors (see below), whose sum is σ = 37288721008. Its totient is φ = 4099273920.

The previous prime is 12590682763. The next prime is 12590682787. The reversal of 12590682768 is 86728609521.

12590682768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12590682763) 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 19 ways as a sum of consecutive naturals, for example, 57238 + ... + 168693.

Almost surely, 2^12590682768 is an apocalyptic number.

12590682768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12590682768 is an abundant number, since it is smaller than the sum of its proper divisors (24698038240).

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

12590682768 is a wasteful number, since it uses less digits than its factorization.

12590682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225994 (or 225979 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12590682768 in words is "twelve billion, five hundred ninety million, six hundred eighty-two thousand, seven hundred sixty-eight".