505169375904 has 144 divisors (see below), whose sum is σ = 1447167594600. Its totient is φ = 167149731840.

The previous prime is 505169375899. The next prime is 505169375911. The reversal of 505169375904 is 409573961505.

505169375904 is a `hidden beast` number, since 5 + 0 + 5 + 16 + 9 + 37 + 590 + 4 = 666.

505169375904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 193202444304 + 311966931600 = 439548^2 + 558540^2 .

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

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, 89297044 + ... + 89302700.

Almost surely, 2^505169375904 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 505169375904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723583797300).

505169375904 is an abundant number, since it is smaller than the sum of its proper divisors (941998218696).

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

505169375904 is a wasteful number, since it uses less digits than its factorization.

505169375904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 505169375904 in words is "five hundred five billion, one hundred sixty-nine million, three hundred seventy-five thousand, nine hundred four".