808989144960 has 256 divisors, whose sum is σ = 2646928005120. Its totient is φ = 210040012800.

The previous prime is 808989144941. The next prime is 808989144989. The reversal of 808989144960 is 69441989808.

It is a super-2 number, since 2×808989144960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 808989144891 and 808989144900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39585945 + ... + 39606375.

It is an arithmetic number, because the mean of its divisors is an integer number (10339562520).

Almost surely, 2^808989144960 is an apocalyptic number.

808989144960 is a gapful number since it is divisible by the number (80) 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 808989144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323464002560).

808989144960 is an abundant number, since it is smaller than the sum of its proper divisors (1837938860160).

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

808989144960 is a wasteful number, since it uses less digits than its factorization.

808989144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997 (or 20985 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 808989144960 in words is "eight hundred eight billion, nine hundred eighty-nine million, one hundred forty-four thousand, nine hundred sixty".