68558242368000 has 1280 divisors, whose sum is σ = 286100174131200. Its totient is φ = 14149804032000.

The previous prime is 68558242367981. The next prime is 68558242368013. The reversal of 68558242368000 is 86324285586.

68558242368000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2202800439 + ... + 2202831561.

It is an arithmetic number, because the mean of its divisors is an integer number (223515761040).

Almost surely, 2^{68558242368000} is an apocalyptic number.

68558242368000 is a gapful number since it is divisible by the number (60) 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 68558242368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143050087065600).

68558242368000 is an abundant number, since it is smaller than the sum of its proper divisors (217541931763200).

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

68558242368000 is a wasteful number, since it uses less digits than its factorization.

68558242368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31326 (or 31300 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 68558242368000 in words is "sixty-eight trillion, five hundred fifty-eight billion, two hundred forty-two million, three hundred sixty-eight thousand".