11988826416 has 640 divisors, whose sum is σ = 43882905600. Its totient is φ = 3056901120.

The previous prime is 11988826387. The next prime is 11988826471. The reversal of 11988826416 is 61462888911.

It is a happy number.

11988826416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 94400145 + ... + 94400271.

It is an arithmetic number, because the mean of its divisors is an integer number (68567040).

Almost surely, 2^11988826416 is an apocalyptic number.

11988826416 is a gapful number since it is divisible by the number (16) 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 11988826416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21941452800).

11988826416 is an abundant number, since it is smaller than the sum of its proper divisors (31894079184).

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

11988826416 is a wasteful number, since it uses less digits than its factorization.

11988826416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 11988826416 in words is "eleven billion, nine hundred eighty-eight million, eight hundred twenty-six thousand, four hundred sixteen".