505645612025016 has 256 divisors, whose sum is σ = 1314257185013760. Its totient is φ = 162019147207680.

The previous prime is 505645612024981. The next prime is 505645612025039. The reversal of 505645612025016 is 610520216546505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85979526396 + ... + 85979532276.

It is an arithmetic number, because the mean of its divisors is an integer number (5133817128960).

Almost surely, 2^{505645612025016} 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 505645612025016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657128592506880).

505645612025016 is an abundant number, since it is smaller than the sum of its proper divisors (808611572988744).

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

505645612025016 is a wasteful number, since it uses less digits than its factorization.

505645612025016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 505645612025016 in words is "five hundred five trillion, six hundred forty-five billion, six hundred twelve million, twenty-five thousand, sixteen".