20808264960 has 864 divisors, whose sum is σ = 89996175360. Its totient is φ = 4496891904.

The previous prime is 20808264959. The next prime is 20808264989. The reversal of 20808264960 is 6946280802.

20808264960 is a `hidden beast` number, since 2 + 0 + 80 + 82 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41368069 + ... + 41368571.

It is an arithmetic number, because the mean of its divisors is an integer number (104162240).

Almost surely, 2^20808264960 is an apocalyptic number.

20808264960 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 20808264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44998087680).

20808264960 is an abundant number, since it is smaller than the sum of its proper divisors (69187910400).

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

20808264960 is an equidigital number, since it uses as much as digits as its factorization.

20808264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 20808264960 in words is "twenty billion, eight hundred eight million, two hundred sixty-four thousand, nine hundred sixty".