11991833000 has 128 divisors (see below), whose sum is σ = 32675685120. Its totient is φ = 4033785600.

The previous prime is 11991832999. The next prime is 11991833011. The reversal of 11991833000 is 33819911.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354839 + ... + 387161.

It is an arithmetic number, because the mean of its divisors is an integer number (255278790).

Almost surely, 2^11991833000 is an apocalyptic number.

11991833000 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 11991833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16337842560).

11991833000 is an abundant number, since it is smaller than the sum of its proper divisors (20683852120).

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

11991833000 is a wasteful number, since it uses less digits than its factorization.

11991833000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32404 (or 32390 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The spelling of 11991833000 in words is "eleven billion, nine hundred ninety-one million, eight hundred thirty-three thousand".