11520665162406 has 72 divisors (see below), whose sum is σ = 26096947518096. Its totient is φ = 3672827595360.

The previous prime is 11520665162401. The next prime is 11520665162423. The reversal of 11520665162406 is 60426156602511.

11520665162406 is a `hidden beast` number, since 1 + 1 + 5 + 20 + 6 + 65 + 162 + 406 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520665162401) 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 35 ways as a sum of consecutive naturals, for example, 87355591 + ... + 87487373.

It is an arithmetic number, because the mean of its divisors is an integer number (362457604418).

Almost surely, 2^{11520665162406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11520665162406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048473759048).

11520665162406 is an abundant number, since it is smaller than the sum of its proper divisors (14576282355690).

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

11520665162406 is a wasteful number, since it uses less digits than its factorization.

11520665162406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141018 (or 140992 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11520665162406 in words is "eleven trillion, five hundred twenty billion, six hundred sixty-five million, one hundred sixty-two thousand, four hundred six".