11964560544 has 120 divisors (see below), whose sum is σ = 35412768468. Its totient is φ = 3962649600.

The previous prime is 11964560521. The next prime is 11964560549. The reversal of 11964560544 is 44506546911.

11964560544 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 45 + 60 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10712250000 + 1252310544 = 103500^2 + 35388^2 .

It is a super-2 number, since 2×11964560544² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11964560544.

It is not an unprimeable number, because it can be changed into a prime (11964560549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392244 + ... + 421644.

Almost surely, 2^11964560544 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 11964560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17706384234).

11964560544 is an abundant number, since it is smaller than the sum of its proper divisors (23448207924).

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

11964560544 is a wasteful number, since it uses less digits than its factorization.

11964560544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29580 (or 29563 counting only the distinct ones).

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

The spelling of 11964560544 in words is "eleven billion, nine hundred sixty-four million, five hundred sixty thousand, five hundred forty-four".