11839830000 has 400 divisors, whose sum is σ = 40906905600. Its totient is φ = 2943360000.

The previous prime is 11839829977. The next prime is 11839830011. The reversal of 11839830000 is 3893811.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26969781 + ... + 26970219.

It is an arithmetic number, because the mean of its divisors is an integer number (102267264).

Almost surely, 2^11839830000 is an apocalyptic number.

11839830000 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 11839830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20453452800).

11839830000 is an abundant number, since it is smaller than the sum of its proper divisors (29067075600).

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

11839830000 is a wasteful number, since it uses less digits than its factorization.

11839830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11839830000 in words is "eleven billion, eight hundred thirty-nine million, eight hundred thirty thousand".