11806007744 has 56 divisors (see below), whose sum is σ = 23824996800. Its totient is φ = 5803499520.

The previous prime is 11806007723. The next prime is 11806007753. The reversal of 11806007744 is 44770060811.

11806007744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11806007698 and 11806007707.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1213652 + ... + 1223340.

Almost surely, 2^11806007744 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 11806007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912498400).

11806007744 is an abundant number, since it is smaller than the sum of its proper divisors (12018989056).

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

11806007744 is an equidigital number, since it uses as much as digits as its factorization.

11806007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 11806007744 in words is "eleven billion, eight hundred six million, seven thousand, seven hundred forty-four".