506935680000 has 220 divisors, whose sum is σ = 1688426436840. Its totient is φ = 135182336000.

The previous prime is 506935679989. The next prime is 506935680107. The reversal of 506935680000 is 86539605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1787986 + ... + 2052014.

It is an arithmetic number, because the mean of its divisors is an integer number (7674665622).

Almost surely, 2^506935680000 is an apocalyptic number.

506935680000 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 506935680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844213218420).

506935680000 is an abundant number, since it is smaller than the sum of its proper divisors (1181490756840).

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

506935680000 is an equidigital number, since it uses as much as digits as its factorization.

506935680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264072 (or 264039 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 506935680000 in words is "five hundred six billion, nine hundred thirty-five million, six hundred eighty thousand".