68982162800256 has 512 divisors, whose sum is σ = 225962897529600. Its totient is φ = 20622576844800.

The previous prime is 68982162800251. The next prime is 68982162800267. The reversal of 68982162800256 is 65200826128986.

68982162800256 is a `hidden beast` number, since 6 + 8 + 98 + 2 + 16 + 280 + 0 + 256 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68982162800193 and 68982162800202.

It is not an unprimeable number, because it can be changed into a prime (68982162800251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103246786 + ... + 103912766.

Almost surely, 2^{68982162800256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68982162800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112981448764800).

68982162800256 is an abundant number, since it is smaller than the sum of its proper divisors (156980734729344).

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

68982162800256 is a wasteful number, since it uses less digits than its factorization.

68982162800256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666105 (or 666087 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 68982162800256 in words is "sixty-eight trillion, nine hundred eighty-two billion, one hundred sixty-two million, eight hundred thousand, two hundred fifty-six".