10985330384 has 90 divisors (see below), whose sum is σ = 25643767734. Its totient is φ = 4545381120.

The previous prime is 10985330383. The next prime is 10985330399. The reversal of 10985330384 is 48303358901.

10985330384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1761648784 + 9223681600 = 41972^2 + 96040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985330381) 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 17 ways as a sum of consecutive naturals, for example, 651014 + ... + 667674.

Almost surely, 2^10985330384 is an apocalyptic number.

10985330384 is a gapful number since it is divisible by the number (14) 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 10985330384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821883867).

10985330384 is an abundant number, since it is smaller than the sum of its proper divisors (14658437350).

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

10985330384 is a wasteful number, since it uses less digits than its factorization.

10985330384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16741 (or 16699 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 10985330384 in words is "ten billion, nine hundred eighty-five million, three hundred thirty thousand, three hundred eighty-four".