11133287424 has 528 divisors, whose sum is σ = 40057006080. Its totient is φ = 2906357760.

The previous prime is 11133287387. The next prime is 11133287447. The reversal of 11133287424 is 42478233111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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, 37997422 + ... + 37997714.

Almost surely, 2^11133287424 is an apocalyptic number.

11133287424 is a gapful number since it is divisible by the number (14) 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 11133287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028503040).

11133287424 is an abundant number, since it is smaller than the sum of its proper divisors (28923718656).

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

11133287424 is a wasteful number, since it uses less digits than its factorization.

11133287424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 11133287424 in words is "eleven billion, one hundred thirty-three million, two hundred eighty-seven thousand, four hundred twenty-four".