11520504125460 has 384 divisors, whose sum is σ = 39544243845120. Its totient is φ = 2761288704000.

The previous prime is 11520504125419. The next prime is 11520504125461. The reversal of 11520504125460 is 6452140502511.

11520504125460 is a `hidden beast` number, since 1 + 1 + 5 + 20 + 50 + 4 + 125 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520504125461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186835635 + ... + 186897285.

It is an arithmetic number, because the mean of its divisors is an integer number (102979801680).

Almost surely, 2^{11520504125460} is an apocalyptic number.

11520504125460 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 11520504125460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772121922560).

11520504125460 is an abundant number, since it is smaller than the sum of its proper divisors (28023739719660).

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

11520504125460 is a wasteful number, since it uses less digits than its factorization.

11520504125460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62036 (or 62028 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11520504125460 its reverse (6452140502511), we get a palindrome (17972644627971).

The spelling of 11520504125460 in words is "eleven trillion, five hundred twenty billion, five hundred four million, one hundred twenty-five thousand, four hundred sixty".