12573350064 has 400 divisors, whose sum is σ = 41317775136. Its totient is φ = 3688312320.

The previous prime is 12573350033. The next prime is 12573350077. The reversal of 12573350064 is 46005337521.

12573350064 is a `hidden beast` number, since 1 + 25 + 73 + 3 + 500 + 64 = 666.

12573350064 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 (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 63824014 + ... + 63824210.

Almost surely, 2^12573350064 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 12573350064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658887568).

12573350064 is an abundant number, since it is smaller than the sum of its proper divisors (28744425072).

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

12573350064 is a wasteful number, since it uses less digits than its factorization.

12573350064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 12573350064 its reverse (46005337521), we get a palindrome (58578687585).

The spelling of 12573350064 in words is "twelve billion, five hundred seventy-three million, three hundred fifty thousand, sixty-four".