13581335800 has 48 divisors (see below), whose sum is σ = 31654000800. Its totient is φ = 5419219200.

The previous prime is 13581335759. The next prime is 13581335837. The reversal of 13581335800 is 853318531.

13581335800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13581335800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13581335800.

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 11 ways as a sum of consecutive naturals, for example, 1216 + ... + 164815.

It is an arithmetic number, because the mean of its divisors is an integer number (659458350).

Almost surely, 2^13581335800 is an apocalyptic number.

13581335800 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 13581335800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827000400).

13581335800 is an abundant number, since it is smaller than the sum of its proper divisors (18072665000).

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

13581335800 is a wasteful number, since it uses less digits than its factorization.

13581335800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166456 (or 166447 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 13581335800 in words is "thirteen billion, five hundred eighty-one million, three hundred thirty-five thousand, eight hundred".