11838069375000 has 256 divisors, whose sum is σ = 40357021685760. Its totient is φ = 2869830000000.

The previous prime is 11838069374987. The next prime is 11838069375019. The reversal of 11838069375000 is 57396083811.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20338017 + ... + 20911983.

It is an arithmetic number, because the mean of its divisors is an integer number (157644615960).

Almost surely, 2^{11838069375000} is an apocalyptic number.

11838069375000 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 11838069375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178510842880).

11838069375000 is an abundant number, since it is smaller than the sum of its proper divisors (28518952310760).

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

11838069375000 is an frugal number, since it uses more digits than its factorization.

11838069375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574022 (or 573988 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 11838069375000 in words is "eleven trillion, eight hundred thirty-eight billion, sixty-nine million, three hundred seventy-five thousand".