13724399520 has 144 divisors (see below), whose sum is σ = 50437237032. Its totient is φ = 3378309120.

The previous prime is 13724399509. The next prime is 13724399527. The reversal of 13724399520 is 2599342731.

13724399520 is a `hidden beast` number, since 1 + 37 + 2 + 4 + 3 + 99 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12366329616 + 1358069904 = 111204^2 + 36852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (13724399527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347851 + ... + 385290.

Almost surely, 2^13724399520 is an apocalyptic number.

13724399520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13724399520 is an abundant number, since it is smaller than the sum of its proper divisors (36712837512).

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

13724399520 is a wasteful number, since it uses less digits than its factorization.

13724399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733175 (or 733164 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13724399520 in words is "thirteen billion, seven hundred twenty-four million, three hundred ninety-nine thousand, five hundred twenty".