500813200272 has 480 divisors, whose sum is σ = 1803728839680. Its totient is φ = 115981148160.

The previous prime is 500813200267. The next prime is 500813200297. The reversal of 500813200272 is 272002318005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20282398 + ... + 20307074.

It is an arithmetic number, because the mean of its divisors is an integer number (3757768416).

Almost surely, 2^500813200272 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 500813200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901864419840).

500813200272 is an abundant number, since it is smaller than the sum of its proper divisors (1302915639408).

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

500813200272 is a wasteful number, since it uses less digits than its factorization.

500813200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24759 (or 24736 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 500813200272 its reverse (272002318005), we get a palindrome (772815518277).

The spelling of 500813200272 in words is "five hundred billion, eight hundred thirteen million, two hundred thousand, two hundred seventy-two".