10935940224 has 256 divisors, whose sum is σ = 32818867200. Its totient is φ = 3197399040.

The previous prime is 10935940207. The next prime is 10935940259. The reversal of 10935940224 is 42204953901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26099887 + ... + 26100305.

It is an arithmetic number, because the mean of its divisors is an integer number (128198700).

Almost surely, 2^10935940224 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 10935940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409433600).

10935940224 is an abundant number, since it is smaller than the sum of its proper divisors (21882926976).

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

10935940224 is a wasteful number, since it uses less digits than its factorization.

10935940224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

It can be divided in two parts, 10935 and 940224, that added together give a palindrome (951159).

The spelling of 10935940224 in words is "ten billion, nine hundred thirty-five million, nine hundred forty thousand, two hundred twenty-four".