11679232000 has 104 divisors (see below), whose sum is σ = 29149082352. Its totient is φ = 4671488000.

The previous prime is 11679231919. The next prime is 11679232063. The reversal of 11679232000 is 23297611.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 500595 + ... + 523405.

It is an arithmetic number, because the mean of its divisors is an integer number (280279638).

Almost surely, 2^11679232000 is an apocalyptic number.

11679232000 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 11679232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574541176).

11679232000 is an abundant number, since it is smaller than the sum of its proper divisors (17469850352).

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

11679232000 is an frugal number, since it uses more digits than its factorization.

11679232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22850 (or 22818 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 11679232000 in words is "eleven billion, six hundred seventy-nine million, two hundred thirty-two thousand".