12590813664 has 576 divisors, whose sum is σ = 44535778560. Its totient is φ = 3469340160.

The previous prime is 12590813659. The next prime is 12590813671. The reversal of 12590813664 is 46631809521.

12590813664 is a `hidden beast` number, since 125 + 90 + 81 + 366 + 4 = 666.

12590813664 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 95 ways as a sum of consecutive naturals, for example, 187922559 + ... + 187922625.

It is an arithmetic number, because the mean of its divisors is an integer number (77319060).

Almost surely, 2^12590813664 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 12590813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22267889280).

12590813664 is an abundant number, since it is smaller than the sum of its proper divisors (31944964896).

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

12590813664 is an equidigital number, since it uses as much as digits as its factorization.

12590813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12590813664 in words is "twelve billion, five hundred ninety million, eight hundred thirteen thousand, six hundred sixty-four".