13201893534720 has 704 divisors, whose sum is σ = 46792887206400. Its totient is φ = 3150014054400.

The previous prime is 13201893534707. The next prime is 13201893534779. The reversal of 13201893534720 is 2743539810231.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13201893534720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8522848506 + ... + 8522850054.

Almost surely, 2^{13201893534720} is an apocalyptic number.

13201893534720 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 13201893534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23396443603200).

13201893534720 is an abundant number, since it is smaller than the sum of its proper divisors (33590993671680).

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

13201893534720 is a wasteful number, since it uses less digits than its factorization.

13201893534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13201893534720 in words is "thirteen trillion, two hundred one billion, eight hundred ninety-three million, five hundred thirty-four thousand, seven hundred twenty".