12625605006564 has 192 divisors, whose sum is σ = 33629073730560. Its totient is φ = 3653582400000.

The previous prime is 12625605006503. The next prime is 12625605006571. The reversal of 12625605006564 is 46560050652621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41537739 + ... + 41840589.

It is an arithmetic number, because the mean of its divisors is an integer number (175151425680).

Almost surely, 2^{12625605006564} 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 12625605006564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814536865280).

12625605006564 is an abundant number, since it is smaller than the sum of its proper divisors (21003468723996).

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

12625605006564 is a wasteful number, since it uses less digits than its factorization.

12625605006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303082 (or 303080 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 12625605006564 in words is "twelve trillion, six hundred twenty-five billion, six hundred five million, six thousand, five hundred sixty-four".