11908944000 has 448 divisors, whose sum is σ = 44436089880. Its totient is φ = 3172608000.

The previous prime is 11908943953. The next prime is 11908944017. The reversal of 11908944000 is 44980911.

It can be written as a sum of positive squares in 4 ways, for example, as 3950876736 + 7958067264 = 62856^2 + 89208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 11663490 + ... + 11664510.

Almost surely, 2^11908944000 is an apocalyptic number.

11908944000 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 11908944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22218044940).

11908944000 is an abundant number, since it is smaller than the sum of its proper divisors (32527145880).

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

11908944000 is an frugal number, since it uses more digits than its factorization.

11908944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11908944000 in words is "eleven billion, nine hundred eight million, nine hundred forty-four thousand".