13082992000 has 256 divisors, whose sum is σ = 36177523200. Its totient is φ = 4672512000.

The previous prime is 13082991991. The next prime is 13082992033. The reversal of 13082992000 is 29928031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6446986 + ... + 6449014.

It is an arithmetic number, because the mean of its divisors is an integer number (141318450).

Almost surely, 2^13082992000 is an apocalyptic number.

13082992000 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 13082992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088761600).

13082992000 is an abundant number, since it is smaller than the sum of its proper divisors (23094531200).

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

13082992000 is a wasteful number, since it uses less digits than its factorization.

13082992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 13082992000 in words is "thirteen billion, eighty-two million, nine hundred ninety-two thousand".