12982568659200 has 1296 divisors, whose sum is σ = 54277348944000. Its totient is φ = 2959320268800.

The previous prime is 12982568659199. The next prime is 12982568659217. The reversal of 12982568659200 is 295686528921.

12982568659200 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 2 + 568 + 65 + 9 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10056210555 + ... + 10056211845.

Almost surely, 2^{12982568659200} is an apocalyptic number.

12982568659200 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 12982568659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27138674472000).

12982568659200 is an abundant number, since it is smaller than the sum of its proper divisors (41294780284800).

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

12982568659200 is a wasteful number, since it uses less digits than its factorization.

12982568659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 12982568659200 in words is "twelve trillion, nine hundred eighty-two billion, five hundred sixty-eight million, six hundred fifty-nine thousand, two hundred".