503564640320 has 112 divisors (see below), whose sum is σ = 1370678821248. Its totient is φ = 172617523200.

The previous prime is 503564640311. The next prime is 503564640323. The reversal of 503564640320 is 23046465305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×503564640320² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (503564640323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13517720 + ... + 13554920.

Almost surely, 2^503564640320 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 503564640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685339410624).

503564640320 is an abundant number, since it is smaller than the sum of its proper divisors (867114180928).

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

503564640320 is a wasteful number, since it uses less digits than its factorization.

503564640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43268 (or 43258 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 503564640320 in words is "five hundred three billion, five hundred sixty-four million, six hundred forty thousand, three hundred twenty".