11005450200 has 144 divisors (see below), whose sum is σ = 37959118080. Its totient is φ = 2855450880.

The previous prime is 11005450177. The next prime is 11005450201. The reversal of 11005450200 is 205450011.

11005450200 is a `hidden beast` number, since 1 + 10 + 0 + 5 + 450 + 200 = 666.

It is a super-2 number, since 2×11005450200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005450201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16024 + ... + 149223.

Almost surely, 2^11005450200 is an apocalyptic number.

11005450200 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 11005450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18979559040).

11005450200 is an abundant number, since it is smaller than the sum of its proper divisors (26953667880).

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

11005450200 is a wasteful number, since it uses less digits than its factorization.

11005450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165306 (or 165294 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 11005450200 in words is "eleven billion, five million, four hundred fifty thousand, two hundred".