13266547840 has 384 divisors, whose sum is σ = 41262117120. Its totient is φ = 3971358720.

The previous prime is 13266547831. The next prime is 13266547841. The reversal of 13266547840 is 4874566231.

13266547840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13266547841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21024325 + ... + 21024955.

It is an arithmetic number, because the mean of its divisors is an integer number (107453430).

Almost surely, 2^13266547840 is an apocalyptic number.

13266547840 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 13266547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20631058560).

13266547840 is an abundant number, since it is smaller than the sum of its proper divisors (27995569280).

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

13266547840 is a wasteful number, since it uses less digits than its factorization.

13266547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 13266547840 in words is "thirteen billion, two hundred sixty-six million, five hundred forty-seven thousand, eight hundred forty".