508160209920 has 704 divisors, whose sum is σ = 1833692774400. Its totient is φ = 119048765440.

The previous prime is 508160209903. The next prime is 508160209937. The reversal of 508160209920 is 29902061805.

It is an interprime number because it is at equal distance from previous prime (508160209903) and next prime (508160209937).

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 706759321 + ... + 706760039.

Almost surely, 2^508160209920 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 508160209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916846387200).

508160209920 is an abundant number, since it is smaller than the sum of its proper divisors (1325532564480).

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

508160209920 is a wasteful number, since it uses less digits than its factorization.

508160209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 508160209920 in words is "five hundred eight billion, one hundred sixty million, two hundred nine thousand, nine hundred twenty".