12595568013952 has 192 divisors, whose sum is σ = 32009848634880. Its totient is φ = 4881666048000.

The previous prime is 12595568013923. The next prime is 12595568013971. The reversal of 12595568013952 is 25931086559521.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12699552 + ... + 13655392.

It is an arithmetic number, because the mean of its divisors is an integer number (166717961640).

Almost surely, 2^{12595568013952} 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 12595568013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004924317440).

12595568013952 is an abundant number, since it is smaller than the sum of its proper divisors (19414280620928).

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

12595568013952 is a wasteful number, since it uses less digits than its factorization.

12595568013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956071 (or 956052 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 61.

The spelling of 12595568013952 in words is "twelve trillion, five hundred ninety-five billion, five hundred sixty-eight million, thirteen thousand, nine hundred fifty-two".