505561060000 has 120 divisors (see below), whose sum is σ = 1286645657220. Its totient is φ = 195250944000.

The previous prime is 505561059917. The next prime is 505561060007. The reversal of 505561060000 is 60165505.

It can be written as a sum of positive squares in 10 ways, for example, as 44949088144 + 460611971856 = 212012^2 + 678684^2 .

It is not an unprimeable number, because it can be changed into a prime (505561060007) 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 19 ways as a sum of consecutive naturals, for example, 144172 + ... + 1015828.

Almost surely, 2^505561060000 is an apocalyptic number.

505561060000 is a gapful number since it is divisible by the number (50) 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 505561060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643322828610).

505561060000 is an abundant number, since it is smaller than the sum of its proper divisors (781084597220).

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

505561060000 is an equidigital number, since it uses as much as digits as its factorization.

505561060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871716 (or 871693 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 505561060000 in words is "five hundred five billion, five hundred sixty-one million, sixty thousand".