820808482560 has 288 divisors, whose sum is σ = 2863351233792. Its totient is φ = 198734807040.

The previous prime is 820808482513. The next prime is 820808482579. The reversal of 820808482560 is 65284808028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34920732 + ... + 34944228.

It is an arithmetic number, because the mean of its divisors is an integer number (9942191784).

Almost surely, 2^820808482560 is an apocalyptic number.

820808482560 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 820808482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431675616896).

820808482560 is an abundant number, since it is smaller than the sum of its proper divisors (2042542751232).

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

820808482560 is a wasteful number, since it uses less digits than its factorization.

820808482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24359 (or 24345 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 820808482560 in words is "eight hundred twenty billion, eight hundred eight million, four hundred eighty-two thousand, five hundred sixty".