13788968960 has 96 divisors (see below), whose sum is σ = 35630824320. Its totient is φ = 5091262464.

The previous prime is 13788968959. The next prime is 13788968987. The reversal of 13788968960 is 6986988731.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81329 + ... + 184911.

It is an arithmetic number, because the mean of its divisors is an integer number (371154420).

Almost surely, 2^13788968960 is an apocalyptic number.

13788968960 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 13788968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815412160).

13788968960 is an abundant number, since it is smaller than the sum of its proper divisors (21841855360).

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

13788968960 is a wasteful number, since it uses less digits than its factorization.

13788968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103623 (or 103603 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 65.

The spelling of 13788968960 in words is "thirteen billion, seven hundred eighty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".