11527221834 has 128 divisors (see below), whose sum is σ = 28293580800. Its totient is φ = 3462497280.

The previous prime is 11527221821. The next prime is 11527221889. The reversal of 11527221834 is 43812272511.

11527221834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 4553149 + ... + 4555679.

It is an arithmetic number, because the mean of its divisors is an integer number (221043600).

Almost surely, 2^11527221834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11527221834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146790400).

11527221834 is an abundant number, since it is smaller than the sum of its proper divisors (16766358966).

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

11527221834 is a wasteful number, since it uses less digits than its factorization.

11527221834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2771 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 11527221834 in words is "eleven billion, five hundred twenty-seven million, two hundred twenty-one thousand, eight hundred thirty-four".