13659747120 has 160 divisors (see below), whose sum is σ = 47096985600. Its totient is φ = 3638981376.

The previous prime is 13659747113. The next prime is 13659747133. The reversal of 13659747120 is 2174795631.

13659747120 is a `hidden beast` number, since 1 + 3 + 6 + 597 + 47 + 12 + 0 = 666.

13659747120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 2716929 + ... + 2721951.

It is an arithmetic number, because the mean of its divisors is an integer number (294356160).

Almost surely, 2^13659747120 is an apocalyptic number.

13659747120 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 13659747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548492800).

13659747120 is an abundant number, since it is smaller than the sum of its proper divisors (33437238480).

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

13659747120 is a wasteful number, since it uses less digits than its factorization.

13659747120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13659747120 in words is "thirteen billion, six hundred fifty-nine million, seven hundred forty-seven thousand, one hundred twenty".