12060584064 has 96 divisors (see below), whose sum is σ = 34728059340. Its totient is φ = 4017592320.

The previous prime is 12060584009. The next prime is 12060584087. The reversal of 12060584064 is 46048506021.

12060584064 is a `hidden beast` number, since 1 + 2 + 0 + 605 + 8 + 40 + 6 + 4 = 666.

12060584064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10330689600 + 1729894464 = 101640^2 + 41592^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2740714 + ... + 2745110.

Almost surely, 2^12060584064 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 12060584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364029670).

12060584064 is an abundant number, since it is smaller than the sum of its proper divisors (22667475276).

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

12060584064 is a wasteful number, since it uses less digits than its factorization.

12060584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12060584064 in words is "twelve billion, sixty million, five hundred eighty-four thousand, sixty-four".