13805808160 has 48 divisors (see below), whose sum is σ = 32982730200. Its totient is φ = 5460269056.

The previous prime is 13805808157. The next prime is 13805808173. The reversal of 13805808160 is 6180850831.

13805808160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7171379856 + 6634428304 = 84684^2 + 81452^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 470515 + ... + 498994.

Almost surely, 2^13805808160 is an apocalyptic number.

13805808160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13805808160 is an abundant number, since it is smaller than the sum of its proper divisors (19176922040).

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

13805808160 is an equidigital number, since it uses as much as digits as its factorization.

13805808160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969613 (or 969605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 13805808160 in words is "thirteen billion, eight hundred five million, eight hundred eight thousand, one hundred sixty".