505560310560 has 144 divisors (see below), whose sum is σ = 1729229523840. Its totient is φ = 134503119360.

The previous prime is 505560310513. The next prime is 505560310589. The reversal of 505560310560 is 65013065505.

505560310560 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 60 + 31 + 0 + 560 = 666.

505560310560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×505560310560² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213351 + ... + 1027929.

It is an arithmetic number, because the mean of its divisors is an integer number (12008538360).

Almost surely, 2^505560310560 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 505560310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864614761920).

505560310560 is an abundant number, since it is smaller than the sum of its proper divisors (1223669213280).

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

505560310560 is a wasteful number, since it uses less digits than its factorization.

505560310560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815031 (or 815020 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 505560310560 in words is "five hundred five billion, five hundred sixty million, three hundred ten thousand, five hundred sixty".