10872225800 has 108 divisors (see below), whose sum is σ = 25885205685. Its totient is φ = 4246848000.

The previous prime is 10872225739. The next prime is 10872225821. The reversal of 10872225800 is 852227801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 2609779396 + 8262446404 = 51086^2 + 90898^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=73730.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107645750 + ... + 107645850.

Almost surely, 2^10872225800 is an apocalyptic number.

10872225800 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 10872225800

10872225800 is an abundant number, since it is smaller than the sum of its proper divisors (15012979885).

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

10872225800 is an equidigital number, since it uses as much as digits as its factorization.

10872225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 10872225800 in words is "ten billion, eight hundred seventy-two million, two hundred twenty-five thousand, eight hundred".