505304671620 has 192 divisors, whose sum is σ = 1637771788800. Its totient is φ = 114016911360.

The previous prime is 505304671583. The next prime is 505304671631. The reversal of 505304671620 is 26176403505.

It is a super-2 number, since 2×505304671620² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23950036 + ... + 23971124.

It is an arithmetic number, because the mean of its divisors is an integer number (8530061400).

Almost surely, 2^505304671620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505304671620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818885894400).

505304671620 is an abundant number, since it is smaller than the sum of its proper divisors (1132467117180).

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

505304671620 is a wasteful number, since it uses less digits than its factorization.

505304671620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21838 (or 21836 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 505304671620 in words is "five hundred five billion, three hundred four million, six hundred seventy-one thousand, six hundred twenty".