10971683424 has 144 divisors (see below), whose sum is σ = 34170973200. Its totient is φ = 3318617088.

The previous prime is 10971683417. The next prime is 10971683453. The reversal of 10971683424 is 42438617901.

10971683424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 10971683424.

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 23 ways as a sum of consecutive naturals, for example, 196062 + ... + 245730.

It is an arithmetic number, because the mean of its divisors is an integer number (237298425).

Almost surely, 2^10971683424 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 10971683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085486600).

10971683424 is an abundant number, since it is smaller than the sum of its proper divisors (23199289776).

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

10971683424 is a wasteful number, since it uses less digits than its factorization.

10971683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49757 (or 49746 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10971683424 in words is "ten billion, nine hundred seventy-one million, six hundred eighty-three thousand, four hundred twenty-four".