13305160704 has 704 divisors, whose sum is σ = 45842319360. Its totient is φ = 3373793280.

The previous prime is 13305160691. The next prime is 13305160733. The reversal of 13305160704 is 40706150331.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251040742 + ... + 251040794.

Almost surely, 2^13305160704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305160704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22921159680).

13305160704 is an abundant number, since it is smaller than the sum of its proper divisors (32537158656).

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

13305160704 is a wasteful number, since it uses less digits than its factorization.

13305160704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 13305160704 in words is "thirteen billion, three hundred five million, one hundred sixty thousand, seven hundred four".