13066731504288 has 1152 divisors, whose sum is σ = 50993639424000. Its totient is φ = 3069031680000.

The previous prime is 13066731504251. The next prime is 13066731504313. The reversal of 13066731504288 is 88240513766031.

13066731504288 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 67 + 3 + 150 + 428 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5804855163 + ... + 5804857413.

It is an arithmetic number, because the mean of its divisors is an integer number (44265312000).

Almost surely, 2^{13066731504288} is an apocalyptic number.

13066731504288 is a gapful number since it is divisible by the number (18) 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 13066731504288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25496819712000).

13066731504288 is an abundant number, since it is smaller than the sum of its proper divisors (37926907919712).

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

13066731504288 is a wasteful number, since it uses less digits than its factorization.

13066731504288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13066731504288 in words is "thirteen trillion, sixty-six billion, seven hundred thirty-one million, five hundred four thousand, two hundred eighty-eight".