10868717440 has 768 divisors, whose sum is σ = 35790984000. Its totient is φ = 3121348608.

The previous prime is 10868717437. The next prime is 10868717441. The reversal of 10868717440 is 4471786801.

10868717440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10868717441) 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 95 ways as a sum of consecutive naturals, for example, 293749102 + ... + 293749138.

Almost surely, 2^10868717440 is an apocalyptic number.

10868717440 is a gapful number since it is divisible by the number (10) 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 10868717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895492000).

10868717440 is an abundant number, since it is smaller than the sum of its proper divisors (24922266560).

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

10868717440 is a wasteful number, since it uses less digits than its factorization.

10868717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 10868717440 in words is "ten billion, eight hundred sixty-eight million, seven hundred seventeen thousand, four hundred forty".