11520564999936 has 144 divisors (see below), whose sum is σ = 32228156669184. Its totient is φ = 3646411005952.

The previous prime is 11520564999907. The next prime is 11520564999991. The reversal of 11520564999936 is 63999946502511.

11520564999936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39655 + ... + 4800281.

It is an arithmetic number, because the mean of its divisors is an integer number (223806643536).

Almost surely, 2^{11520564999936} is an apocalyptic number.

11520564999936 is a gapful number since it is divisible by the number (16) 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 11520564999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114078334592).

11520564999936 is an abundant number, since it is smaller than the sum of its proper divisors (20707591669248).

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

11520564999936 is a wasteful number, since it uses less digits than its factorization.

11520564999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760806 (or 4760792 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 69.

The spelling of 11520564999936 in words is "eleven trillion, five hundred twenty billion, five hundred sixty-four million, nine hundred ninety-nine thousand, nine hundred thirty-six".