10884790224 has 720 divisors, whose sum is σ = 41700634560. Its totient is φ = 2634508800.

The previous prime is 10884790223. The next prime is 10884790229. The reversal of 10884790224 is 42209748801.

It is a self number, because there is not a number n which added to its sum of digits gives 10884790224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10884790223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178439154 + ... + 178439214.

It is an arithmetic number, because the mean of its divisors is an integer number (57917548).

Almost surely, 2^10884790224 is an apocalyptic number.

10884790224 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 10884790224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850317280).

10884790224 is an abundant number, since it is smaller than the sum of its proper divisors (30815844336).

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

10884790224 is a wasteful number, since it uses less digits than its factorization.

10884790224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

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

It can be divided in two parts, 10884 and 790224, that added together give a palindrome (801108).

The spelling of 10884790224 in words is "ten billion, eight hundred eighty-four million, seven hundred ninety thousand, two hundred twenty-four".