11045410200 has 288 divisors, whose sum is σ = 41562808560. Its totient is φ = 2605132800.

The previous prime is 11045410199. The next prime is 11045410213. The reversal of 11045410200 is 201454011.

11045410200 is a `hidden beast` number, since 1 + 1 + 0 + 454 + 10 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 725062 + ... + 740138.

Almost surely, 2^11045410200 is an apocalyptic number.

11045410200 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 11045410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20781404280).

11045410200 is an abundant number, since it is smaller than the sum of its proper divisors (30517398360).

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

11045410200 is a wasteful number, since it uses less digits than its factorization.

11045410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11045410200 its reverse (201454011), we get a palindrome (11246864211).

The spelling of 11045410200 in words is "eleven billion, forty-five million, four hundred ten thousand, two hundred".