13968558259200 has 3168 divisors, whose sum is σ = 59533732900800. Its totient is φ = 3195241758720.

The previous prime is 13968558259099. The next prime is 13968558259259. The reversal of 13968558259200 is 295285586931.

13968558259200 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 8 + 558 + 2 + 59 + 20 + 0 = 666.

13968558259200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156950092756 + ... + 156950092844.

Almost surely, 2^{13968558259200} is an apocalyptic number.

13968558259200 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 13968558259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29766866450400).

13968558259200 is an abundant number, since it is smaller than the sum of its proper divisors (45565174641600).

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

13968558259200 is a wasteful number, since it uses less digits than its factorization.

13968558259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 13968558259200 in words is "thirteen trillion, nine hundred sixty-eight billion, five hundred fifty-eight million, two hundred fifty-nine thousand, two hundred".