505683127921944 has 512 divisors, whose sum is σ = 1638641339596800. Its totient is φ = 126665486069760.

The previous prime is 505683127921903. The next prime is 505683127921999. The reversal of 505683127921944 is 449129721386505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8359335762 + ... + 8359396254.

It is an arithmetic number, because the mean of its divisors is an integer number (3200471366400).

It is a 1-persistent number, because it is pandigital, but 2⋅505683127921944 = 1011366255843888 is not.

Almost surely, 2^{505683127921944} 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 505683127921944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819320669798400).

505683127921944 is an abundant number, since it is smaller than the sum of its proper divisors (1132958211674856).

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

505683127921944 is a wasteful number, since it uses less digits than its factorization.

505683127921944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64255 (or 64251 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 505683127921944 in words is "five hundred five trillion, six hundred eighty-three billion, one hundred twenty-seven million, nine hundred twenty-one thousand, nine hundred forty-four".