13665124320 has 96 divisors (see below), whose sum is σ = 44916705792. Its totient is φ = 3485594112.

The previous prime is 13665124313. The next prime is 13665124337. The reversal of 13665124320 is 2342156631.

13665124320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 607852 + ... + 629931.

It is an arithmetic number, because the mean of its divisors is an integer number (467882352).

Almost surely, 2^13665124320 is an apocalyptic number.

13665124320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13665124320 is an abundant number, since it is smaller than the sum of its proper divisors (31251581472).

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

13665124320 is a wasteful number, since it uses less digits than its factorization.

13665124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237824 (or 1237816 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 13665124320 in words is "thirteen billion, six hundred sixty-five million, one hundred twenty-four thousand, three hundred twenty".