13004053664 has 48 divisors (see below), whose sum is σ = 29275380288. Its totient is φ = 5570068992.

The previous prime is 13004053649. The next prime is 13004053691. The reversal of 13004053664 is 46635040031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13004053664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413339 + ... + 443685.

It is an arithmetic number, because the mean of its divisors is an integer number (609903756).

Almost surely, 2^13004053664 is an apocalyptic number.

13004053664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13004053664 is an abundant number, since it is smaller than the sum of its proper divisors (16271326624).

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

13004053664 is a wasteful number, since it uses less digits than its factorization.

13004053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32277 (or 32269 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 13004053664 its reverse (46635040031), we get a palindrome (59639093695).

The spelling of 13004053664 in words is "thirteen billion, four million, fifty-three thousand, six hundred sixty-four".