12808981785600 has 6336 divisors, whose sum is σ = 68173018647552. Its totient is φ = 2312346009600.

The previous prime is 12808981785599. The next prime is 12808981785601. The reversal of 12808981785600 is 658718980821.

12808981785600 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 8 + 9 + 8 + 17 + 8 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12808981785599) and next prime (12808981785601).

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808981785601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 753469516792 + ... + 753469516808.

Almost surely, 2^{12808981785600} is an apocalyptic number.

12808981785600 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 12808981785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34086509323776).

12808981785600 is an abundant number, since it is smaller than the sum of its proper divisors (55364036861952).

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

12808981785600 is a wasteful number, since it uses less digits than its factorization.

12808981785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 12808981785600 in words is "twelve trillion, eight hundred eight billion, nine hundred eighty-one million, seven hundred eighty-five thousand, six hundred".