11050135200 has 216 divisors, whose sum is σ = 41963243868. Its totient is φ = 2720010240.

The previous prime is 11050135189. The next prime is 11050135207. The reversal of 11050135200 is 253105011.

11050135200 is a `hidden beast` number, since 110 + 501 + 3 + 52 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4338593424 + 6711541776 = 65868^2 + 81924^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11050135207) 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, 34572 + ... + 152628.

Almost surely, 2^11050135200 is an apocalyptic number.

11050135200 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 11050135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981621934).

11050135200 is an abundant number, since it is smaller than the sum of its proper divisors (30913108668).

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

11050135200 is a wasteful number, since it uses less digits than its factorization.

11050135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118096 (or 118080 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 11050135200 in words is "eleven billion, fifty million, one hundred thirty-five thousand, two hundred".