13165980800 has 192 divisors, whose sum is σ = 38037595200. Its totient is φ = 4408750080.

The previous prime is 13165980799. The next prime is 13165980823. The reversal of 13165980800 is 808956131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956366 + ... + 970034.

It is an arithmetic number, because the mean of its divisors is an integer number (198112475).

Almost surely, 2^13165980800 is an apocalyptic number.

13165980800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13165980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018797600).

13165980800 is an abundant number, since it is smaller than the sum of its proper divisors (24871614400).

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

13165980800 is a wasteful number, since it uses less digits than its factorization.

13165980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 13165980800 in words is "thirteen billion, one hundred sixty-five million, nine hundred eighty thousand, eight hundred".