12678283737360 has 480 divisors, whose sum is σ = 47150245584000. Its totient is φ = 3040068132864.

The previous prime is 12678283737263. The next prime is 12678283737367. The reversal of 12678283737360 is 6373738287621.

It is a happy number.

12678283737360 is a `hidden beast` number, since 1 + 2 + 67 + 82 + 8 + 373 + 73 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (12678283737367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23135652 + ... + 23677308.

It is an arithmetic number, because the mean of its divisors is an integer number (98229678300).

Almost surely, 2^{12678283737360} is an apocalyptic number.

12678283737360 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 12678283737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575122792000).

12678283737360 is an abundant number, since it is smaller than the sum of its proper divisors (34471961846640).

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

12678283737360 is a wasteful number, since it uses less digits than its factorization.

12678283737360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541783 (or 541774 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 12678283737360 in words is "twelve trillion, six hundred seventy-eight billion, two hundred eighty-three million, seven hundred thirty-seven thousand, three hundred sixty".