2568347651712 has 256 divisors, whose sum is σ = 7210719129600. Its totient is φ = 808819458048.

The previous prime is 2568347651711. The next prime is 2568347651731. The reversal of 2568347651712 is 2171567438652.

It is a happy number.

2568347651712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2568347651711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103229418 + ... + 103254294.

It is an arithmetic number, because the mean of its divisors is an integer number (28166871600).

Almost surely, 2^{2568347651712} 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 2568347651712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605359564800).

2568347651712 is an abundant number, since it is smaller than the sum of its proper divisors (4642371477888).

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

2568347651712 is a wasteful number, since it uses less digits than its factorization.

2568347651712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25123 (or 25111 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The spelling of 2568347651712 in words is "two trillion, five hundred sixty-eight billion, three hundred forty-seven million, six hundred fifty-one thousand, seven hundred twelve".