11520504241408 has 72 divisors (see below), whose sum is σ = 23074519412168. Its totient is φ = 5740593610752.

The previous prime is 11520504241391. The next prime is 11520504241423. The reversal of 11520504241408 is 80414240502511.

It can be written as a sum of positive squares in 4 ways, for example, as 1018549229824 + 10501955011584 = 1009232^2 + 3240672^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 445258360 + ... + 445284232.

Almost surely, 2^{11520504241408} 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 11520504241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537259706084).

11520504241408 is an abundant number, since it is smaller than the sum of its proper divisors (11554015170760).

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

11520504241408 is an equidigital number, since it uses as much as digits as its factorization.

11520504241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31759 (or 31745 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

Adding to 11520504241408 its reverse (80414240502511), we get a palindrome (91934744743919).

The spelling of 11520504241408 in words is "eleven trillion, five hundred twenty billion, five hundred four million, two hundred forty-one thousand, four hundred eight".