11520311540064 has 48 divisors (see below), whose sum is σ = 30242100446208. Its totient is φ = 3839940970112.

The previous prime is 11520311540039. The next prime is 11520311540069. The reversal of 11520311540064 is 46004511302511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11520311540069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259152 + ... + 4807055.

It is an arithmetic number, because the mean of its divisors is an integer number (630043759296).

Almost surely, 2^{11520311540064} is an apocalyptic number.

It is an amenable number.

11520311540064 is an abundant number, since it is smaller than the sum of its proper divisors (18721788906144).

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

11520311540064 is a wasteful number, since it uses less digits than its factorization.

11520311540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089907 (or 5089899 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 11520311540064 its reverse (46004511302511), we get a palindrome (57524822842575).

The spelling of 11520311540064 in words is "eleven trillion, five hundred twenty billion, three hundred eleven million, five hundred forty thousand, sixty-four".