505125468409824 has 576 divisors, whose sum is σ = 1535914093529088. Its totient is φ = 157185855590400.

The previous prime is 505125468409817. The next prime is 505125468409847. The reversal of 505125468409824 is 428904864521505.

505125468409824 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 2 + 546 + 8 + 4 + 0 + 9 + 82 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 22668636187 + ... + 22668658469.

It is an arithmetic number, because the mean of its divisors is an integer number (2666517523488).

Almost surely, 2^{505125468409824} 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 505125468409824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767957046764544).

505125468409824 is an abundant number, since it is smaller than the sum of its proper divisors (1030788625119264).

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

505125468409824 is a wasteful number, since it uses less digits than its factorization.

505125468409824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22951 (or 22940 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 505125468409824 in words is "five hundred five trillion, one hundred twenty-five billion, four hundred sixty-eight million, four hundred nine thousand, eight hundred twenty-four".