508216320000 has 840 divisors, whose sum is σ = 1886257032660. Its totient is φ = 131727360000.

The previous prime is 508216319953. The next prime is 508216320023. The reversal of 508216320000 is 23612805.

508216320000 is a `hidden beast` number, since 5 + 0 + 8 + 21 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 276154454016 + 232061865984 = 525504^2 + 481728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1889279866 + ... + 1889280134.

Almost surely, 2^508216320000 is an apocalyptic number.

508216320000 is a gapful number since it is divisible by the number (50) 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 508216320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943128516330).

508216320000 is an abundant number, since it is smaller than the sum of its proper divisors (1378040712660).

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

508216320000 is an equidigital number, since it uses as much as digits as its factorization.

508216320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 508216320000 its reverse (23612805), we get a palindrome (508239932805).

The spelling of 508216320000 in words is "five hundred eight billion, two hundred sixteen million, three hundred twenty thousand".