11041100800 has 132 divisors (see below), whose sum is σ = 27472312096. Its totient is φ = 4399718400.

The previous prime is 11041100743. The next prime is 11041100839. The reversal of 11041100800 is 800114011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8472949 + ... + 8474251.

Almost surely, 2^11041100800 is an apocalyptic number.

11041100800 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 11041100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736156048).

11041100800 is an abundant number, since it is smaller than the sum of its proper divisors (16431211296).

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

11041100800 is a wasteful number, since it uses less digits than its factorization.

11041100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11041100800 its reverse (800114011), we get a palindrome (11841214811).

The spelling of 11041100800 in words is "eleven billion, forty-one million, one hundred thousand, eight hundred".