10871065184 has 96 divisors (see below), whose sum is σ = 25655325696. Its totient is φ = 4433425920.

The previous prime is 10871065169. The next prime is 10871065211. The reversal of 10871065184 is 48156017801.

10871065184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1009589 + ... + 1020299.

It is an arithmetic number, because the mean of its divisors is an integer number (267242976).

Almost surely, 2^10871065184 is an apocalyptic number.

10871065184 is a gapful number since it is divisible by the number (14) 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 10871065184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827662848).

10871065184 is an abundant number, since it is smaller than the sum of its proper divisors (14784260512).

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

10871065184 is a wasteful number, since it uses less digits than its factorization.

10871065184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 41.

The spelling of 10871065184 in words is "ten billion, eight hundred seventy-one million, sixty-five thousand, one hundred eighty-four".