503432420325216 has 192 divisors, whose sum is σ = 1368750226878720. Its totient is φ = 161826271201280.

The previous prime is 503432420325193. The next prime is 503432420325239. The reversal of 503432420325216 is 612523024234305.

It is an interprime number because it is at equal distance from previous prime (503432420325193) and next prime (503432420325239).

It is a super-2 number, since 2×503432420325216² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17092723546 + ... + 17092752998.

It is an arithmetic number, because the mean of its divisors is an integer number (7128907431660).

Almost surely, 2^{503432420325216} 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 503432420325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684375113439360).

503432420325216 is an abundant number, since it is smaller than the sum of its proper divisors (865317806553504).

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

503432420325216 is a wasteful number, since it uses less digits than its factorization.

503432420325216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36789 (or 36781 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 503432420325216 in words is "five hundred three trillion, four hundred thirty-two billion, four hundred twenty million, three hundred twenty-five thousand, two hundred sixteen".