11876782144 has 56 divisors (see below), whose sum is σ = 24236693208. Its totient is φ = 5770321920.

The previous prime is 11876782139. The next prime is 11876782157. The reversal of 11876782144 is 44128767811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 617025600 + 11259756544 = 24840^2 + 106112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083362 + ... + 2089054.

It is an arithmetic number, because the mean of its divisors is an integer number (432798093).

Almost surely, 2^11876782144 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 11876782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118346604).

11876782144 is an abundant number, since it is smaller than the sum of its proper divisors (12359911064).

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

11876782144 is an equidigital number, since it uses as much as digits as its factorization.

11876782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6613 counting only the distinct ones).

The product of its digits is 602112, while the sum is 49.

The spelling of 11876782144 in words is "eleven billion, eight hundred seventy-six million, seven hundred eighty-two thousand, one hundred forty-four".