11833075000 has 96 divisors (see below), whose sum is σ = 27816657120. Its totient is φ = 4718800000.

The previous prime is 11833074997. The next prime is 11833075003. The reversal of 11833075000 is 57033811.

It is an interprime number because it is at equal distance from previous prime (11833074997) and next prime (11833075003).

It is a self number, because there is not a number n which added to its sum of digits gives 11833075000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11833075003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12574530 + ... + 12575470.

It is an arithmetic number, because the mean of its divisors is an integer number (289756845).

Almost surely, 2^11833075000 is an apocalyptic number.

11833075000 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 11833075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908328560).

11833075000 is an abundant number, since it is smaller than the sum of its proper divisors (15983582120).

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

11833075000 is an frugal number, since it uses more digits than its factorization.

11833075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 11833075000 in words is "eleven billion, eight hundred thirty-three million, seventy-five thousand".