12595608519648 has 768 divisors, whose sum is σ = 44601145344000. Its totient is φ = 3014151782400.

The previous prime is 12595608519643. The next prime is 12595608519649. The reversal of 12595608519648 is 84691580659521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12595608519643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 762483933 + ... + 762500451.

It is an arithmetic number, because the mean of its divisors is an integer number (58074408000).

Almost surely, 2^{12595608519648} 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 12595608519648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22300572672000).

12595608519648 is an abundant number, since it is smaller than the sum of its proper divisors (32005536824352).

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

12595608519648 is a wasteful number, since it uses less digits than its factorization.

12595608519648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16719 (or 16711 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 69.

The spelling of 12595608519648 in words is "twelve trillion, five hundred ninety-five billion, six hundred eight million, five hundred nineteen thousand, six hundred forty-eight".