13709928960 has 720 divisors, whose sum is σ = 58876481664. Its totient is φ = 2886893568.

The previous prime is 13709928931. The next prime is 13709928979. The reversal of 13709928960 is 6982990731.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 13709928897 and 13709928906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27256069 + ... + 27256571.

Almost surely, 2^13709928960 is an apocalyptic number.

13709928960 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 13709928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29438240832).

13709928960 is an abundant number, since it is smaller than the sum of its proper divisors (45166552704).

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

13709928960 is a wasteful number, since it uses less digits than its factorization.

13709928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 13709928960 in words is "thirteen billion, seven hundred nine million, nine hundred twenty-eight thousand, nine hundred sixty".