13584026960 has 120 divisors (see below), whose sum is σ = 36933636096. Its totient is φ = 4632741120.

The previous prime is 13584026959. The next prime is 13584027043. The reversal of 13584026960 is 6962048531.

13584026960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 739649 + ... + 757791.

Almost surely, 2^13584026960 is an apocalyptic number.

13584026960 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 13584026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466818048).

13584026960 is an abundant number, since it is smaller than the sum of its proper divisors (23349609136).

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

13584026960 is a wasteful number, since it uses less digits than its factorization.

13584026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18361 (or 18348 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 13584026960 in words is "thirteen billion, five hundred eighty-four million, twenty-six thousand, nine hundred sixty".