20765284584 has 128 divisors (see below), whose sum is σ = 59579712000. Its totient is φ = 5972422400.

The previous prime is 20765284583. The next prime is 20765284597. The reversal of 20765284584 is 48548256702.

It is not an unprimeable number, because it can be changed into a prime (20765284583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428719 + ... + 474689.

It is an arithmetic number, because the mean of its divisors is an integer number (465466500).

Almost surely, 2^20765284584 is an apocalyptic number.

20765284584 is a gapful number since it is divisible by the number (24) 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 20765284584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789856000).

20765284584 is an abundant number, since it is smaller than the sum of its proper divisors (38814427416).

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

20765284584 is a wasteful number, since it uses less digits than its factorization.

20765284584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46079 (or 46075 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 20765284584 in words is "twenty billion, seven hundred sixty-five million, two hundred eighty-four thousand, five hundred eighty-four".