10921884288 has 128 divisors (see below), whose sum is σ = 34225520640. Its totient is φ = 3019852800.

The previous prime is 10921884283. The next prime is 10921884349. The reversal of 10921884288 is 88248812901.

10921884288 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 (128).

It is a super-2 number, since 2×10921884288² (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 10921884288.

It is not an unprimeable number, because it can be changed into a prime (10921884283) by changing a digit.

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, 17793 + ... + 148863.

It is an arithmetic number, because the mean of its divisors is an integer number (267386880).

Almost surely, 2^10921884288 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 10921884288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112760320).

10921884288 is an abundant number, since it is smaller than the sum of its proper divisors (23303636352).

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

10921884288 is a wasteful number, since it uses less digits than its factorization.

10921884288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131126 (or 131114 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 51.

The spelling of 10921884288 in words is "ten billion, nine hundred twenty-one million, eight hundred eighty-four thousand, two hundred eighty-eight".