13085534992 has 160 divisors (see below), whose sum is σ = 29175275520. Its totient is φ = 5652218880.

The previous prime is 13085534989. The next prime is 13085534993. The reversal of 13085534992 is 29943558031.

13085534992 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 (13085534993) 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 31 ways as a sum of consecutive naturals, for example, 15822483 + ... + 15823309.

It is an arithmetic number, because the mean of its divisors is an integer number (182345472).

Almost surely, 2^13085534992 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 13085534992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587637760).

13085534992 is an abundant number, since it is smaller than the sum of its proper divisors (16089740528).

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

13085534992 is a wasteful number, since it uses less digits than its factorization.

13085534992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 13085534992 in words is "thirteen billion, eighty-five million, five hundred thirty-four thousand, nine hundred ninety-two".