503398595616 has 192 divisors, whose sum is σ = 1526940979200. Its totient is φ = 142242186240.

The previous prime is 503398595593. The next prime is 503398595653. The reversal of 503398595616 is 616595893305.

It is a happy number.

It is a super-2 number, since 2×503398595616² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 503398595616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22321306 + ... + 22343846.

It is an arithmetic number, because the mean of its divisors is an integer number (7952817600).

Almost surely, 2^503398595616 is an apocalyptic number.

503398595616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503398595616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763470489600).

503398595616 is an abundant number, since it is smaller than the sum of its proper divisors (1023542383584).

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

503398595616 is a wasteful number, since it uses less digits than its factorization.

503398595616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 60.

The spelling of 503398595616 in words is "five hundred three billion, three hundred ninety-eight million, five hundred ninety-five thousand, six hundred sixteen".