13200981787584 has 224 divisors, whose sum is σ = 40860680889600. Its totient is φ = 4167742325760.

The previous prime is 13200981787537. The next prime is 13200981787639. The reversal of 13200981787584 is 48578718900231.

13200981787584 is a `hidden beast` number, since 1 + 32 + 0 + 0 + 9 + 8 + 17 + 8 + 7 + 584 = 666.

It is a super-2 number, since 2×13200981787584² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 145104799 + ... + 145195745.

Almost surely, 2^{13200981787584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200981787584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20430340444800).

13200981787584 is an abundant number, since it is smaller than the sum of its proper divisors (27659699102016).

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

13200981787584 is a wasteful number, since it uses less digits than its factorization.

13200981787584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95408 (or 95392 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 13200981787584 in words is "thirteen trillion, two hundred billion, nine hundred eighty-one million, seven hundred eighty-seven thousand, five hundred eighty-four".