13723694530560 has 504 divisors, whose sum is σ = 54373253407200. Its totient is φ = 3136768966656.

The previous prime is 13723694530547. The next prime is 13723694530583. The reversal of 13723694530560 is 6503549632731.

13723694530560 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 3 + 6 + 9 + 45 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 13723694530497 and 13723694530506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330280666 + ... + 330322214.

It is an arithmetic number, because the mean of its divisors is an integer number (107883439300).

Almost surely, 2^{13723694530560} is an apocalyptic number.

13723694530560 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 13723694530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27186626703600).

13723694530560 is an abundant number, since it is smaller than the sum of its proper divisors (40649558876640).

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

13723694530560 is an frugal number, since it uses more digits than its factorization.

13723694530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41607 (or 41566 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 13723694530560 in words is "thirteen trillion, seven hundred twenty-three billion, six hundred ninety-four million, five hundred thirty thousand, five hundred sixty".