11997302688 has 648 divisors, whose sum is σ = 44138963232. Its totient is φ = 3190150656.

The previous prime is 11997302687. The next prime is 11997302717. The reversal of 11997302688 is 88620379911.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11997302687) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 324251406 + ... + 324251442.

It is an arithmetic number, because the mean of its divisors is an integer number (68115684).

Almost surely, 2^11997302688 is an apocalyptic number.

11997302688 is a gapful number since it is divisible by the number (18) 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 11997302688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22069481616).

11997302688 is an abundant number, since it is smaller than the sum of its proper divisors (32141660544).

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

11997302688 is an equidigital number, since it uses as much as digits as its factorization.

11997302688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 72 counting only the distinct ones).

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

The spelling of 11997302688 in words is "eleven billion, nine hundred ninety-seven million, three hundred two thousand, six hundred eighty-eight".