505419027360 has 768 divisors, whose sum is σ = 1909793894400. Its totient is φ = 111150268416.

The previous prime is 505419027359. The next prime is 505419027361. The reversal of 505419027360 is 63720914505.

It is an interprime number because it is at equal distance from previous prime (505419027359) and next prime (505419027361).

It is not an unprimeable number, because it can be changed into a prime (505419027361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 199060971 + ... + 199063509.

It is an arithmetic number, because the mean of its divisors is an integer number (2486710800).

Almost surely, 2^505419027360 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 505419027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954896947200).

505419027360 is an abundant number, since it is smaller than the sum of its proper divisors (1404374867040).

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

505419027360 is a wasteful number, since it uses less digits than its factorization.

505419027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 505419027360 in words is "five hundred five billion, four hundred nineteen million, twenty-seven thousand, three hundred sixty".