11289886272 has 280 divisors, whose sum is σ = 38390454080. Its totient is φ = 3213665280.

The previous prime is 11289886271. The next prime is 11289886277. The reversal of 11289886272 is 27268898211.

11289886272 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 8 + 8 + 627 + 2 = 666.

11289886272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (11289886271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15276879 + ... + 15277617.

Almost surely, 2^11289886272 is an apocalyptic number.

11289886272 is a gapful number since it is divisible by the number (12) 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 11289886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195227040).

11289886272 is an abundant number, since it is smaller than the sum of its proper divisors (27100567808).

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

11289886272 is an equidigital number, since it uses as much as digits as its factorization.

11289886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1172 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 11289886272 in words is "eleven billion, two hundred eighty-nine million, eight hundred eighty-six thousand, two hundred seventy-two".