11300115288 has 512 divisors, whose sum is σ = 39574241280. Its totient is φ = 2598912000.

The previous prime is 11300115269. The next prime is 11300115289. The reversal of 11300115288 is 88251100311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300115289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39929595 + ... + 39929877.

It is an arithmetic number, because the mean of its divisors is an integer number (77293440).

Almost surely, 2^11300115288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300115288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787120640).

11300115288 is an abundant number, since it is smaller than the sum of its proper divisors (28274125992).

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

11300115288 is a wasteful number, since it uses less digits than its factorization.

11300115288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

Adding to 11300115288 its reverse (88251100311), we get a palindrome (99551215599).

The spelling of 11300115288 in words is "eleven billion, three hundred million, one hundred fifteen thousand, two hundred eighty-eight".