11050099200 has 720 divisors, whose sum is σ = 46068587136. Its totient is φ = 2477260800.

The previous prime is 11050099199. The next prime is 11050099201. The reversal of 11050099200 is 299005011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11050099199) and next prime (11050099201).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (11050099201) 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, 57254304 + ... + 57254496.

Almost surely, 2^11050099200 is an apocalyptic number.

11050099200 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 11050099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034293568).

11050099200 is an abundant number, since it is smaller than the sum of its proper divisors (35018487936).

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

11050099200 is a wasteful number, since it uses less digits than its factorization.

11050099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 11050099200 in words is "eleven billion, fifty million, ninety-nine thousand, two hundred".