68042036530000 has 400 divisors, whose sum is σ = 182547481119696. Its totient is φ = 24404889600000.

The previous prime is 68042036529989. The next prime is 68042036530001. The reversal of 68042036530000 is 3563024086.

68042036530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 65322215470656 + 2719821059344 = 8082216^2 + 1649188^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68042036530001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 695841112 + ... + 695938888.

Almost surely, 2^{68042036530000} 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 68042036530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91273740559848).

68042036530000 is an abundant number, since it is smaller than the sum of its proper divisors (114505444589696).

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

68042036530000 is a wasteful number, since it uses less digits than its factorization.

68042036530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97972 (or 97951 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 68042036530000 its reverse (3563024086), we get a palindrome (68045599554086).

The spelling of 68042036530000 in words is "sixty-eight trillion, forty-two billion, thirty-six million, five hundred thirty thousand".