12685963046400 has 3840 divisors, whose sum is σ = 60012158976000. Its totient is φ = 2558391091200.

The previous prime is 12685963046387. The next prime is 12685963046401. The reversal of 12685963046400 is 464036958621.

12685963046400 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 596 + 3 + 0 + 4 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685963046401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41322355047 + ... + 41322355353.

It is an arithmetic number, because the mean of its divisors is an integer number (15628166400).

Almost surely, 2^{12685963046400} is an apocalyptic number.

12685963046400 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 12685963046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30006079488000).

12685963046400 is an abundant number, since it is smaller than the sum of its proper divisors (47326195929600).

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

12685963046400 is a wasteful number, since it uses less digits than its factorization.

12685963046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 12685963046400 in words is "twelve trillion, six hundred eighty-five billion, nine hundred sixty-three million, forty-six thousand, four hundred".