505406204560 has 40 divisors (see below), whose sum is σ = 1175208817536. Its totient is φ = 202138500480.

The previous prime is 505406204533. The next prime is 505406204573. The reversal of 505406204560 is 65402604505.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 311715 + ... + 1052605.

Almost surely, 2^505406204560 is an apocalyptic number.

It is an amenable number.

505406204560 is an abundant number, since it is smaller than the sum of its proper divisors (669802612976).

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

505406204560 is a wasteful number, since it uses less digits than its factorization.

505406204560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749431 (or 749425 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 505406204560 in words is "five hundred five billion, four hundred six million, two hundred four thousand, five hundred sixty".