505505550060 has 240 divisors, whose sum is σ = 1856535912000. Its totient is φ = 112725872640.

The previous prime is 505505550041. The next prime is 505505550097. The reversal of 505505550060 is 60055505505.

505505550060 is a `hidden beast` number, since 5 + 0 + 550 + 55 + 50 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×505505550060² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505505549997 and 505505550024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78685 + ... + 1008564.

It is an arithmetic number, because the mean of its divisors is an integer number (7735566300).

Almost surely, 2^505505550060 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 505505550060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928267956000).

505505550060 is an abundant number, since it is smaller than the sum of its proper divisors (1351030361940).

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

505505550060 is a wasteful number, since it uses less digits than its factorization.

505505550060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087318 (or 1087307 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505505550060 in words is "five hundred five billion, five hundred five million, five hundred fifty thousand, sixty".