505965573090 has 128 divisors (see below), whose sum is σ = 1429164000000. Its totient is φ = 126938078208.

The previous prime is 505965573037. The next prime is 505965573109. The reversal of 505965573090 is 90375569505.

It is a happy number.

505965573090 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 65 + 573 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×505965573090² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12597861 + ... + 12637959.

It is an arithmetic number, because the mean of its divisors is an integer number (11165343750).

Almost surely, 2^505965573090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505965573090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714582000000).

505965573090 is an abundant number, since it is smaller than the sum of its proper divisors (923198426910).

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

505965573090 is a wasteful number, since it uses less digits than its factorization.

505965573090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42881 (or 42875 counting only the distinct ones).

The product of its (nonzero) digits is 6378750, while the sum is 54.

The spelling of 505965573090 in words is "five hundred five billion, nine hundred sixty-five million, five hundred seventy-three thousand, ninety".