505271836068480 has 4608 divisors, whose sum is σ = 2154038958489600. Its totient is φ = 112689602887680.

The previous prime is 505271836068437. The next prime is 505271836068581. The reversal of 505271836068480 is 84860638172505.

505271836068480 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 7 + 18 + 3 + 606 + 8 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1966038272512 + ... + 1966038272768.

It is an arithmetic number, because the mean of its divisors is an integer number (467456371200).

Almost surely, 2^{505271836068480} 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 505271836068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077019479244800).

505271836068480 is an abundant number, since it is smaller than the sum of its proper divisors (1648767122421120).

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

505271836068480 is a wasteful number, since it uses less digits than its factorization.

505271836068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 505271836068480 in words is "five hundred five trillion, two hundred seventy-one billion, eight hundred thirty-six million, sixty-eight thousand, four hundred eighty".