505610005560 has 256 divisors, whose sum is σ = 1729428433920. Its totient is φ = 117055488000.

The previous prime is 505610005547. The next prime is 505610005567. The reversal of 505610005560 is 65500016505.

505610005560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505610005567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19447770 + ... + 19473750.

It is an arithmetic number, because the mean of its divisors is an integer number (6755579820).

Almost surely, 2^505610005560 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 505610005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864714216960).

505610005560 is an abundant number, since it is smaller than the sum of its proper divisors (1223818428360).

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

505610005560 is a wasteful number, since it uses less digits than its factorization.

505610005560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26670 (or 26666 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 505610005560 in words is "five hundred five billion, six hundred ten million, five thousand, five hundred sixty".