11163275200 has 504 divisors, whose sum is σ = 36287927424. Its totient is φ = 3283200000.

The previous prime is 11163275183. The next prime is 11163275203. The reversal of 11163275200 is 257236111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11163275203) 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, 44475075 + ... + 44475325.

It is an arithmetic number, because the mean of its divisors is an integer number (71999856).

Almost surely, 2^11163275200 is an apocalyptic number.

11163275200 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 11163275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18143963712).

11163275200 is an abundant number, since it is smaller than the sum of its proper divisors (25124652224).

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

11163275200 is a wasteful number, since it uses less digits than its factorization.

11163275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 11163275200 in words is "eleven billion, one hundred sixty-three million, two hundred seventy-five thousand, two hundred".