11512525144224 has 576 divisors, whose sum is σ = 34586263958400. Its totient is φ = 3332559200256.

The previous prime is 11512525144147. The next prime is 11512525144243. The reversal of 11512525144224 is 42244152521511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11297865187 + ... + 11297866205.

It is an arithmetic number, because the mean of its divisors is an integer number (60045597150).

Almost surely, 2^{11512525144224} 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 11512525144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293131979200).

11512525144224 is an abundant number, since it is smaller than the sum of its proper divisors (23073738814176).

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

11512525144224 is a wasteful number, since it uses less digits than its factorization.

11512525144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1326 counting only the distinct ones).

The product of its digits is 128000, while the sum is 39.

Adding to 11512525144224 its reverse (42244152521511), we get a palindrome (53756677665735).

The spelling of 11512525144224 in words is "eleven trillion, five hundred twelve billion, five hundred twenty-five million, one hundred forty-four thousand, two hundred twenty-four".