13305800160 has 288 divisors, whose sum is σ = 47259942912. Its totient is φ = 3405265920.

The previous prime is 13305800153. The next prime is 13305800237. The reversal of 13305800160 is 6100850331.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668107 + ... + 5670453.

It is an arithmetic number, because the mean of its divisors is an integer number (164097024).

Almost surely, 2^13305800160 is an apocalyptic number.

13305800160 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 13305800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23629971456).

13305800160 is an abundant number, since it is smaller than the sum of its proper divisors (33954142752).

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

13305800160 is a wasteful number, since it uses less digits than its factorization.

13305800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13305800160 in words is "thirteen billion, three hundred five million, eight hundred thousand, one hundred sixty".