11997608832 has 576 divisors, whose sum is σ = 41331260880. Its totient is φ = 3325132800.

The previous prime is 11997608827. The next prime is 11997608839. The reversal of 11997608832 is 23880679911.

11997608832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11997608839) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 144549463 + ... + 144549545.

Almost surely, 2^11997608832 is an apocalyptic number.

11997608832 is a gapful number since it is divisible by the number (12) 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 11997608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665630440).

11997608832 is an abundant number, since it is smaller than the sum of its proper divisors (29333652048).

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

11997608832 is a wasteful number, since it uses less digits than its factorization.

11997608832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11997608832 in words is "eleven billion, nine hundred ninety-seven million, six hundred eight thousand, eight hundred thirty-two".