11680538844 has 96 divisors (see below), whose sum is σ = 29636216064. Its totient is φ = 3559288320.

The previous prime is 11680538833. The next prime is 11680538861. The reversal of 11680538844 is 44883508611.

11680538844 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 = 11680538793 and 11680538802.

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 31 ways as a sum of consecutive naturals, for example, 7668667 + ... + 7670189.

It is an arithmetic number, because the mean of its divisors is an integer number (308710584).

Almost surely, 2^11680538844 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 11680538844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818108032).

11680538844 is an abundant number, since it is smaller than the sum of its proper divisors (17955677220).

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

11680538844 is a wasteful number, since it uses less digits than its factorization.

11680538844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 11680538844 in words is "eleven billion, six hundred eighty million, five hundred thirty-eight thousand, eight hundred forty-four".