13566132489728 has 480 divisors, whose sum is σ = 34905103073280. Its totient is φ = 5151897354240.

The previous prime is 13566132489617. The next prime is 13566132489739. The reversal of 13566132489728 is 82798423166531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384622308 + ... + 2384627996.

It is an arithmetic number, because the mean of its divisors is an integer number (72718964736).

Almost surely, 2^{13566132489728} 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 13566132489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452551536640).

13566132489728 is an abundant number, since it is smaller than the sum of its proper divisors (21338970583552).

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

13566132489728 is a wasteful number, since it uses less digits than its factorization.

13566132489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5869 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 65.

The spelling of 13566132489728 in words is "thirteen trillion, five hundred sixty-six billion, one hundred thirty-two million, four hundred eighty-nine thousand, seven hundred twenty-eight".