13568640000 has 440 divisors, whose sum is σ = 46656665088. Its totient is φ = 3502080000.

The previous prime is 13568639939. The next prime is 13568640017. The reversal of 13568640000 is 4686531.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71039905 + ... + 71040095.

Almost surely, 2^13568640000 is an apocalyptic number.

13568640000 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 13568640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328332544).

13568640000 is an abundant number, since it is smaller than the sum of its proper divisors (33088025088).

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

13568640000 is an equidigital number, since it uses as much as digits as its factorization.

13568640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 13568640000 in words is "thirteen billion, five hundred sixty-eight million, six hundred forty thousand".