10500800800 has 72 divisors (see below), whose sum is σ = 29297249856. Its totient is φ = 3600272640.

The previous prime is 10500800753. The next prime is 10500800831. The reversal of 10500800800 is 800800501.

It is a super-2 number, since 2×10500800800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931972 + ... + 943171.

It is an arithmetic number, because the mean of its divisors is an integer number (406906248).

Almost surely, 2^10500800800 is an apocalyptic number.

10500800800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500800800 is an abundant number, since it is smaller than the sum of its proper divisors (18796449056).

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

10500800800 is a wasteful number, since it uses less digits than its factorization.

10500800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875170 (or 1875157 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The spelling of 10500800800 in words is "ten billion, five hundred million, eight hundred thousand, eight hundred".