11288412288 has 256 divisors, whose sum is σ = 35029737600. Its totient is φ = 3574222848.

The previous prime is 11288412287. The next prime is 11288412293. The reversal of 11288412288 is 88221488211.

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 (11288412281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5497470 + ... + 5499522.

Almost surely, 2^11288412288 is an apocalyptic number.

11288412288 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 11288412288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514868800).

11288412288 is an abundant number, since it is smaller than the sum of its proper divisors (23741325312).

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

11288412288 is a wasteful number, since it uses less digits than its factorization.

11288412288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2138 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The spelling of 11288412288 in words is "eleven billion, two hundred eighty-eight million, four hundred twelve thousand, two hundred eighty-eight".