12595803761664 has 220 divisors, whose sum is σ = 38143318477968. Its totient is φ = 4139464089600.

The previous prime is 12595803761599. The next prime is 12595803761683. The reversal of 12595803761664 is 46616730859521.

It is a happy number.

12595803761664 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 5 + 8 + 0 + 3 + 7 + 616 + 6 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 4819594 + ... + 6958454.

It is a 1-persistent number, because it is pandigital, but 2⋅12595803761664 = 25191607523328 is not.

Almost surely, 2^{12595803761664} 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 12595803761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071659238984).

12595803761664 is an abundant number, since it is smaller than the sum of its proper divisors (25547514716304).

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

12595803761664 is an equidigital number, since it uses as much as digits as its factorization.

12595803761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138964 (or 2138937 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 12595803761664 in words is "twelve trillion, five hundred ninety-five billion, eight hundred three million, seven hundred sixty-one thousand, six hundred sixty-four".