810480504960 has 512 divisors, whose sum is σ = 3321056678400. Its totient is φ = 185250447360.

The previous prime is 810480504959. The next prime is 810480504971. The reversal of 810480504960 is 69405084018.

810480504960 is a `hidden beast` number, since 8 + 1 + 0 + 4 + 80 + 504 + 9 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9756400 + ... + 9839120.

It is an arithmetic number, because the mean of its divisors is an integer number (6486438825).

Almost surely, 2^810480504960 is an apocalyptic number.

810480504960 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 810480504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660528339200).

810480504960 is an abundant number, since it is smaller than the sum of its proper divisors (2510576173440).

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

810480504960 is an frugal number, since it uses more digits than its factorization.

810480504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82768 (or 82738 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 810480504960 its reverse (69405084018), we get a palindrome (879885588978).

The spelling of 810480504960 in words is "eight hundred ten billion, four hundred eighty million, five hundred four thousand, nine hundred sixty".