13368725314560 has 2112 divisors, whose sum is σ = 60866375491584. Its totient is φ = 2630585548800.

The previous prime is 13368725314547. The next prime is 13368725314589. The reversal of 13368725314560 is 6541352786331.

13368725314560 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 8 + 7 + 2 + 531 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a junction number, because it is equal to n+sod(n) for n = 13368725314497 and 13368725314506.

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 191 ways as a sum of consecutive naturals, for example, 8732020995 + ... + 8732022525.

Almost surely, 2^{13368725314560} is an apocalyptic number.

13368725314560 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 13368725314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30433187745792).

13368725314560 is an abundant number, since it is smaller than the sum of its proper divisors (47497650177024).

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

13368725314560 is a wasteful number, since it uses less digits than its factorization.

13368725314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 13368725314560 in words is "thirteen trillion, three hundred sixty-eight billion, seven hundred twenty-five million, three hundred fourteen thousand, five hundred sixty".