13159816800 has 288 divisors, whose sum is σ = 46372032000. Its totient is φ = 3222374400.

The previous prime is 13159816777. The next prime is 13159816801. The reversal of 13159816800 is 861895131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13159816801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6582201 + ... + 6584199.

It is an arithmetic number, because the mean of its divisors is an integer number (161014000).

Almost surely, 2^13159816800 is an apocalyptic number.

13159816800 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 13159816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186016000).

13159816800 is an abundant number, since it is smaller than the sum of its proper divisors (33212215200).

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

13159816800 is a wasteful number, since it uses less digits than its factorization.

13159816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 13159816800 in words is "thirteen billion, one hundred fifty-nine million, eight hundred sixteen thousand, eight hundred".