13082364808800 has 144 divisors (see below), whose sum is σ = 48666397151232. Its totient is φ = 2990254809600.

The previous prime is 13082364808789. The next prime is 13082364808801. The reversal of 13082364808800 is 880846328031.

It is a happy number.

It is a super-2 number, since 2×13082364808800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082364808801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389339296 + ... + 389372895.

It is an arithmetic number, because the mean of its divisors is an integer number (337961091328).

Almost surely, 2^{13082364808800} is an apocalyptic number.

13082364808800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13082364808800 is an abundant number, since it is smaller than the sum of its proper divisors (35584032342432).

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

13082364808800 is a wasteful number, since it uses less digits than its factorization.

13082364808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778712221 (or 778712208 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 13082364808800 in words is "thirteen trillion, eighty-two billion, three hundred sixty-four million, eight hundred eight thousand, eight hundred".