11009135200 has 288 divisors, whose sum is σ = 31760467200. Its totient is φ = 3648153600.

The previous prime is 11009135197. The next prime is 11009135231. The reversal of 11009135200 is 253190011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31544626 + ... + 31544974.

It is an arithmetic number, because the mean of its divisors is an integer number (110279400).

Almost surely, 2^11009135200 is an apocalyptic number.

11009135200 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 11009135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880233600).

11009135200 is an abundant number, since it is smaller than the sum of its proper divisors (20751332000).

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

11009135200 is a wasteful number, since it uses less digits than its factorization.

11009135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The spelling of 11009135200 in words is "eleven billion, nine million, one hundred thirty-five thousand, two hundred".