12605463336960 has 1152 divisors, whose sum is σ = 48975641245440. Its totient is φ = 3091186188288.

The previous prime is 12605463336919. The next prime is 12605463336971. The reversal of 12605463336960 is 6963336450621.

12605463336960 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 546 + 3 + 3 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12605463336897 and 12605463336906.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11224810959 + ... + 11224812081.

It is an arithmetic number, because the mean of its divisors is an integer number (42513577470).

Almost surely, 2^{12605463336960} is an apocalyptic number.

12605463336960 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 12605463336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24487820622720).

12605463336960 is an abundant number, since it is smaller than the sum of its proper divisors (36370177908480).

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

12605463336960 is a wasteful number, since it uses less digits than its factorization.

12605463336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 12605463336960 in words is "twelve trillion, six hundred five billion, four hundred sixty-three million, three hundred thirty-six thousand, nine hundred sixty".