10851984000 has 1536 divisors, whose sum is σ = 50042603520. Its totient is φ = 2211840000.

The previous prime is 10851983981. The next prime is 10851984001. The reversal of 10851984000 is 48915801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10851984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350063985 + ... + 350064015.

It is an arithmetic number, because the mean of its divisors is an integer number (32579820).

Almost surely, 2^10851984000 is an apocalyptic number.

10851984000 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 10851984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021301760).

10851984000 is an abundant number, since it is smaller than the sum of its proper divisors (39190619520).

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

10851984000 is a wasteful number, since it uses less digits than its factorization.

10851984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10851984000 in words is "ten billion, eight hundred fifty-one million, nine hundred eighty-four thousand".