11967334288 has 120 divisors (see below), whose sum is σ = 29524803000. Its totient is φ = 4656476160.

The previous prime is 11967334277. The next prime is 11967334303. The reversal of 11967334288 is 88243376911.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 11930755984 = 6048^2 + 109228^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612088 + ... + 631336.

It is an arithmetic number, because the mean of its divisors is an integer number (246040025).

Almost surely, 2^11967334288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11967334288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762401500).

11967334288 is an abundant number, since it is smaller than the sum of its proper divisors (17557468712).

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

11967334288 is a wasteful number, since it uses less digits than its factorization.

11967334288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345 (or 19332 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

It can be divided in two parts, 1196733 and 4288, that added together give a palindrome (1201021).

The spelling of 11967334288 in words is "eleven billion, nine hundred sixty-seven million, three hundred thirty-four thousand, two hundred eighty-eight".