11255632224 has 96 divisors (see below), whose sum is σ = 31189536000. Its totient is φ = 3544303104.

The previous prime is 11255632177. The next prime is 11255632247. The reversal of 11255632224 is 42223655211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646222 + ... + 663410.

It is an arithmetic number, because the mean of its divisors is an integer number (324891000).

Almost surely, 2^11255632224 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 11255632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594768000).

11255632224 is an abundant number, since it is smaller than the sum of its proper divisors (19933903776).

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

11255632224 is a wasteful number, since it uses less digits than its factorization.

11255632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17580 (or 17572 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The spelling of 11255632224 in words is "eleven billion, two hundred fifty-five million, six hundred thirty-two thousand, two hundred twenty-four".