505171016560 has 80 divisors (see below), whose sum is σ = 1412959564800. Its totient is φ = 164085619968.

The previous prime is 505171016531. The next prime is 505171016629. The reversal of 505171016560 is 65610171505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23728600 + ... + 23749879.

It is an arithmetic number, because the mean of its divisors is an integer number (17661994560).

Almost surely, 2^505171016560 is an apocalyptic number.

It is an amenable number.

505171016560 is an abundant number, since it is smaller than the sum of its proper divisors (907788548240).

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

505171016560 is a wasteful number, since it uses less digits than its factorization.

505171016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47478518 (or 47478512 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 505171016560 in words is "five hundred five billion, one hundred seventy-one million, sixteen thousand, five hundred sixty".