509946203808 has 144 divisors (see below), whose sum is σ = 1486963348416. Its totient is φ = 165676078080.

The previous prime is 509946203797. The next prime is 509946203827. The reversal of 509946203808 is 808302649905.

509946203808 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 4 + 620 + 3 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12531591 + ... + 12572217.

It is an arithmetic number, because the mean of its divisors is an integer number (10326134364).

Almost surely, 2^509946203808 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 509946203808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743481674208).

509946203808 is an abundant number, since it is smaller than the sum of its proper divisors (977017144608).

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

509946203808 is a wasteful number, since it uses less digits than its factorization.

509946203808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41747 (or 41736 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 509946203808 in words is "five hundred nine billion, nine hundred forty-six million, two hundred three thousand, eight hundred eight".