11236968288 has 288 divisors, whose sum is σ = 40601014272. Its totient is φ = 2867788800.

The previous prime is 11236968271. The next prime is 11236968299. The reversal of 11236968288 is 88286963211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

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, 805533 + ... + 819363.

It is an arithmetic number, because the mean of its divisors is an integer number (140975744).

Almost surely, 2^11236968288 is an apocalyptic number.

11236968288 is a gapful number since it is divisible by the number (18) 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 11236968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300507136).

11236968288 is an abundant number, since it is smaller than the sum of its proper divisors (29364045984).

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

11236968288 is a wasteful number, since it uses less digits than its factorization.

11236968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13898 (or 13887 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 11236968288 in words is "eleven billion, two hundred thirty-six million, nine hundred sixty-eight thousand, two hundred eighty-eight".