505105010560 has 256 divisors, whose sum is σ = 1294186118400. Its totient is φ = 187951104000.

The previous prime is 505105010537. The next prime is 505105010561. The reversal of 505105010560 is 65010501505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505105010561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222806547 + ... + 222808813.

It is an arithmetic number, because the mean of its divisors is an integer number (5055414525).

Almost surely, 2^505105010560 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 505105010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647093059200).

505105010560 is an abundant number, since it is smaller than the sum of its proper divisors (789081107840).

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

505105010560 is a wasteful number, since it uses less digits than its factorization.

505105010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 505105010560 in words is "five hundred five billion, one hundred five million, ten thousand, five hundred sixty".