11520504125160 has 128 divisors (see below), whose sum is σ = 35053804114560. Its totient is φ = 3028535782400.

The previous prime is 11520504125159. The next prime is 11520504125161. The reversal of 11520504125160 is 6152140502511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11520504125159) and next prime (11520504125161).

It is not an unprimeable number, because it can be changed into a prime (11520504125161) 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 31 ways as a sum of consecutive naturals, for example, 3337030 + ... + 5846090.

It is an arithmetic number, because the mean of its divisors is an integer number (273857844645).

Almost surely, 2^{11520504125160} is an apocalyptic number.

11520504125160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11520504125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526902057280).

11520504125160 is an abundant number, since it is smaller than the sum of its proper divisors (23533299989400).

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

11520504125160 is a wasteful number, since it uses less digits than its factorization.

11520504125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509619 (or 2509615 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 11520504125160 its reverse (6152140502511), we get a palindrome (17672644627671).

The spelling of 11520504125160 in words is "eleven trillion, five hundred twenty billion, five hundred four million, one hundred twenty-five thousand, one hundred sixty".