10805218368 has 112 divisors (see below), whose sum is σ = 32696017920. Its totient is φ = 3085023744.

The previous prime is 10805218367. The next prime is 10805218397. The reversal of 10805218368 is 86381250801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10805218367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577563 + ... + 3580581.

Almost surely, 2^10805218368 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 10805218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348008960).

10805218368 is an abundant number, since it is smaller than the sum of its proper divisors (21890799552).

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

10805218368 is a wasteful number, since it uses less digits than its factorization.

10805218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 10805218368 in words is "ten billion, eight hundred five million, two hundred eighteen thousand, three hundred sixty-eight".