11520504135104 has 112 divisors (see below), whose sum is σ = 23360552167296. Its totient is φ = 5635666713600.

The previous prime is 11520504135103. The next prime is 11520504135121. The reversal of 11520504135104 is 40153140502511.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520504135103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444228122 + ... + 444254054.

Almost surely, 2^{11520504135104} 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 11520504135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11680276083648).

11520504135104 is an abundant number, since it is smaller than the sum of its proper divisors (11840048032192).

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

11520504135104 is a wasteful number, since it uses less digits than its factorization.

11520504135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26714 (or 26704 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 11520504135104 its reverse (40153140502511), we get a palindrome (51673644637615).

The spelling of 11520504135104 in words is "eleven trillion, five hundred twenty billion, five hundred four million, one hundred thirty-five thousand, one hundred four".