20085280768 has 208 divisors, whose sum is σ = 49256087040. Its totient is φ = 7993294848.

The previous prime is 20085280739. The next prime is 20085280801. The reversal of 20085280768 is 86708258002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43380505 + ... + 43380967.

Almost surely, 2^20085280768 is an apocalyptic number.

20085280768 is a gapful number since it is divisible by the number (28) 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 20085280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24628043520).

20085280768 is an abundant number, since it is smaller than the sum of its proper divisors (29170806272).

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

20085280768 is an equidigital number, since it uses as much as digits as its factorization.

20085280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 20085280768 in words is "twenty billion, eighty-five million, two hundred eighty thousand, seven hundred sixty-eight".