10882240200 has 288 divisors, whose sum is σ = 40424365800. Its totient is φ = 2606100480.

The previous prime is 10882240183. The next prime is 10882240207. The reversal of 10882240200 is 204228801.

It can be written as a sum of positive squares in 12 ways, for example, as 3788894916 + 7093345284 = 61554^2 + 84222^2 .

It is not an unprimeable number, because it can be changed into a prime (10882240207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 859516 + ... + 872084.

Almost surely, 2^10882240200 is an apocalyptic number.

10882240200 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 10882240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20212182900).

10882240200 is an abundant number, since it is smaller than the sum of its proper divisors (29542125600).

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

10882240200 is a wasteful number, since it uses less digits than its factorization.

10882240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12641 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10882240200 in words is "ten billion, eight hundred eighty-two million, two hundred forty thousand, two hundred".