11520075637836 has 384 divisors, whose sum is σ = 32926315806720. Its totient is φ = 3467399270400.

The previous prime is 11520075637831. The next prime is 11520075637843. The reversal of 11520075637836 is 63873657002511.

11520075637836 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 0 + 7 + 563 + 78 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11520075637831) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4834273101 + ... + 4834275483.

It is an arithmetic number, because the mean of its divisors is an integer number (85745614080).

Almost surely, 2^{11520075637836} 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 11520075637836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463157903360).

11520075637836 is an abundant number, since it is smaller than the sum of its proper divisors (21406240168884).

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

11520075637836 is a wasteful number, since it uses less digits than its factorization.

11520075637836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 11520075637836 in words is "eleven trillion, five hundred twenty billion, seventy-five million, six hundred thirty-seven thousand, eight hundred thirty-six".