10982706000 has 640 divisors, whose sum is σ = 42785832960. Its totient is φ = 2370816000.

The previous prime is 10982705989. The next prime is 10982706023. The reversal of 10982706000 is 60728901.

10982706000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 86477937 + ... + 86478063.

It is an arithmetic number, because the mean of its divisors is an integer number (66852864).

Almost surely, 2^10982706000 is an apocalyptic number.

10982706000 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 10982706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392916480).

10982706000 is an abundant number, since it is smaller than the sum of its proper divisors (31803126960).

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

10982706000 is a wasteful number, since it uses less digits than its factorization.

10982706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10982706000 in words is "ten billion, nine hundred eighty-two million, seven hundred six thousand".