12625611264000 has 3744 divisors, whose sum is σ = 58325765097600. Its totient is φ = 2708884684800.

The previous prime is 12625611263989. The next prime is 12625611264017. The reversal of 12625611264000 is 46211652621.

12625611264000 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 5 + 6 + 1 + 1 + 2 + 640 + 0 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115831295946 + ... + 115831296054.

It is an arithmetic number, because the mean of its divisors is an integer number (15578462900).

Almost surely, 2^{12625611264000} is an apocalyptic number.

12625611264000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12625611264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29162882548800).

12625611264000 is an abundant number, since it is smaller than the sum of its proper divisors (45700153833600).

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

12625611264000 is an equidigital number, since it uses as much as digits as its factorization.

12625611264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12625611264000 in words is "twelve trillion, six hundred twenty-five billion, six hundred eleven million, two hundred sixty-four thousand".