68289651712000 has 448 divisors, whose sum is σ = 180994004609184. Its totient is φ = 25633908326400.

The previous prime is 68289651711961. The next prime is 68289651712031. The reversal of 68289651712000 is 21715698286.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 14085189144576 + 54204462567424 = 3753024^2 + 7362368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6145018444 + ... + 6145029556.

Almost surely, 2^{68289651712000} 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 68289651712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90497002304592).

68289651712000 is an abundant number, since it is smaller than the sum of its proper divisors (112704352897184).

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

68289651712000 is a wasteful number, since it uses less digits than its factorization.

68289651712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 68289651712000 in words is "sixty-eight trillion, two hundred eighty-nine billion, six hundred fifty-one million, seven hundred twelve thousand".