12982761985600 has 567 divisors, whose sum is σ = 37145429208993. Its totient is φ = 4462153344000.

The previous prime is 12982761985597. The next prime is 12982761985601. The reversal of 12982761985600 is 658916728921.

It is a happy number.

The square root of 12982761985600 is 3603160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4673794314816 + 8308967670784 = 2161896^2 + 2882528^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (12982761985601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30122417385 + ... + 30122417815.

Almost surely, 2^{12982761985600} is an apocalyptic number.

12982761985600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12982761985600 is the 3603160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12982761985600

12982761985600 is an abundant number, since it is smaller than the sum of its proper divisors (24162667223393).

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

12982761985600 is an equidigital number, since it uses as much as digits as its factorization.

12982761985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

Multiplying 12982761985600 by its sum of digits (64), we get a square (830896767078400 = 28825280²).

12982761985600 divided by its sum of digits (64) gives a square (202855656025 = 450395²).

The spelling of 12982761985600 in words is "twelve trillion, nine hundred eighty-two billion, seven hundred sixty-one million, nine hundred eighty-five thousand, six hundred".