13305780160000 has 400 divisors, whose sum is σ = 34256951191584. Its totient is φ = 5157568512000.

The previous prime is 13305780159967. The next prime is 13305780160091. The reversal of 13305780160000 is 6108750331.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3113917864 + ... + 3113922136.

Almost surely, 2^{13305780160000} is an apocalyptic number.

13305780160000 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 13305780160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128475595792).

13305780160000 is an abundant number, since it is smaller than the sum of its proper divisors (20951171031584).

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

13305780160000 is an frugal number, since it uses more digits than its factorization.

13305780160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 13305780160000 in words is "thirteen trillion, three hundred five billion, seven hundred eighty million, one hundred sixty thousand".