11515316125504 has 56 divisors (see below), whose sum is σ = 23092099655688. Its totient is φ = 5696864256000.

The previous prime is 11515316125501. The next prime is 11515316125519. The reversal of 11515316125504 is 40552161351511.

It can be written as a sum of positive squares in 4 ways, for example, as 27609145600 + 11487706979904 = 166160^2 + 3389352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515316125501) 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 7 ways as a sum of consecutive naturals, for example, 24606402 + ... + 25070014.

It is an arithmetic number, because the mean of its divisors is an integer number (412358922423).

Almost surely, 2^{11515316125504} 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 11515316125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546049827844).

11515316125504 is an abundant number, since it is smaller than the sum of its proper divisors (11576783530184).

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

11515316125504 is an equidigital number, since it uses as much as digits as its factorization.

11515316125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467723 (or 467713 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 11515316125504 in words is "eleven trillion, five hundred fifteen billion, three hundred sixteen million, one hundred twenty-five thousand, five hundred four".