10983845600 has 432 divisors, whose sum is σ = 34318365984. Its totient is φ = 3342643200.

The previous prime is 10983845597. The next prime is 10983845611. The reversal of 10983845600 is 654838901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69960722 + ... + 69960878.

It is an arithmetic number, because the mean of its divisors is an integer number (79440662).

Almost surely, 2^10983845600 is an apocalyptic number.

10983845600 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 10983845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159182992).

10983845600 is an abundant number, since it is smaller than the sum of its proper divisors (23334520384).

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

10983845600 is a wasteful number, since it uses less digits than its factorization.

10983845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 10983845600 in words is "ten billion, nine hundred eighty-three million, eight hundred forty-five thousand, six hundred".