10800000800 has 144 divisors (see below), whose sum is σ = 27032019840. Its totient is φ = 4211850240.

The previous prime is 10800000793. The next prime is 10800000811. The reversal of 10800000800 is 800000801.

It is a happy number.

10800000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7588889 + ... + 7590311.

It is an arithmetic number, because the mean of its divisors is an integer number (187722360).

Almost surely, 2^10800000800 is an apocalyptic number.

10800000800 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 10800000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13516009920).

10800000800 is an abundant number, since it is smaller than the sum of its proper divisors (16232019040).

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

10800000800 is a wasteful number, since it uses less digits than its factorization.

10800000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Subtracting from 10800000800 its reverse (800000801), we obtain a palindrome (9999999999).

The spelling of 10800000800 in words is "ten billion, eight hundred million, eight hundred", and thus it is an aban number.