10871686224 has 120 divisors (see below), whose sum is σ = 34804240640. Its totient is φ = 3103329024.

The previous prime is 10871686223. The next prime is 10871686261. The reversal of 10871686224 is 42268617801.

10871686224 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 16 + 8 + 622 + 4 = 666.

It is a super-2 number, since 2×10871686224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10871686224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10871686223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242537 + ... + 1251255.

Almost surely, 2^10871686224 is an apocalyptic number.

10871686224 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 10871686224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402120320).

10871686224 is an abundant number, since it is smaller than the sum of its proper divisors (23932554416).

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

10871686224 is a wasteful number, since it uses less digits than its factorization.

10871686224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10871686224 in words is "ten billion, eight hundred seventy-one million, six hundred eighty-six thousand, two hundred twenty-four".