11826384000 has 256 divisors, whose sum is σ = 40270089600. Its totient is φ = 3068006400.

The previous prime is 11826383957. The next prime is 11826384001. The reversal of 11826384000 is 48362811.

It is a super-3 number, since 3×11826384000³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11826384001) 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 31 ways as a sum of consecutive naturals, for example, 1772671 + ... + 1779329.

Almost surely, 2^11826384000 is an apocalyptic number.

11826384000 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 11826384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135044800).

11826384000 is an abundant number, since it is smaller than the sum of its proper divisors (28443705600).

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

11826384000 is an equidigital number, since it uses as much as digits as its factorization.

11826384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 11826384000 in words is "eleven billion, eight hundred twenty-six million, three hundred eighty-four thousand".