13209993216000 has 2128 divisors, whose sum is σ = 57212881789440. Its totient is φ = 2981206425600.

The previous prime is 13209993215999. The next prime is 13209993216029. The reversal of 13209993216000 is 61239990231.

13209993216000 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 9 + 9 + 9 + 32 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 167215103961 + ... + 167215104039.

Almost surely, 2^{13209993216000} is an apocalyptic number.

13209993216000 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 13209993216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28606440894720).

13209993216000 is an abundant number, since it is smaller than the sum of its proper divisors (44002888573440).

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

13209993216000 is an frugal number, since it uses more digits than its factorization.

13209993216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 13209993216000 in words is "thirteen trillion, two hundred nine billion, nine hundred ninety-three million, two hundred sixteen thousand".