12505964935680 has 960 divisors, whose sum is σ = 44997075002880. Its totient is φ = 3208201371648.

The previous prime is 12505964935609. The next prime is 12505964935813. The reversal of 12505964935680 is 8653946950521.

12505964935680 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 5 + 9 + 64 + 9 + 3 + 568 + 0 = 666.

12505964935680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21304880347 + ... + 21304880933.

It is an arithmetic number, because the mean of its divisors is an integer number (46871953128).

Almost surely, 2^{12505964935680} is an apocalyptic number.

12505964935680 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 12505964935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498537501440).

12505964935680 is an abundant number, since it is smaller than the sum of its proper divisors (32491110067200).

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

12505964935680 is a wasteful number, since it uses less digits than its factorization.

12505964935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 12505964935680 in words is "twelve trillion, five hundred five billion, nine hundred sixty-four million, nine hundred thirty-five thousand, six hundred eighty".