20286367000680 has 256 divisors, whose sum is σ = 68188341196800. Its totient is φ = 4785676600320.

The previous prime is 20286367000639. The next prime is 20286367000687. The reversal of 20286367000680 is 8600076368202.

It is a happy number.

20286367000680 is digitally balanced in base 5, 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 (20286367000687) 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, 14604117 + ... + 15932763.

It is an arithmetic number, because the mean of its divisors is an integer number (266360707800).

Almost surely, 2^{20286367000680} is an apocalyptic number.

20286367000680 is a gapful number since it is divisible by the number (20) 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 20286367000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34094170598400).

20286367000680 is an abundant number, since it is smaller than the sum of its proper divisors (47901974196120).

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

20286367000680 is a wasteful number, since it uses less digits than its factorization.

20286367000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328984 (or 1328980 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 20286367000680 in words is "twenty trillion, two hundred eighty-six billion, three hundred sixty-seven million, six hundred eighty", and thus it is an aban number.