508716804096 has 288 divisors, whose sum is σ = 1558139473800. Its totient is φ = 159346851840.

The previous prime is 508716804077. The next prime is 508716804121. The reversal of 508716804096 is 690408617805.

508716804096 is a `hidden beast` number, since 508 + 7 + 1 + 6 + 8 + 0 + 40 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 450423530496 + 58293273600 = 671136^2 + 241440^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 385099116 + ... + 385100436.

Almost surely, 2^508716804096 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 508716804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779069736900).

508716804096 is an abundant number, since it is smaller than the sum of its proper divisors (1049422669704).

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

508716804096 is a wasteful number, since it uses less digits than its factorization.

508716804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 508716804096 in words is "five hundred eight billion, seven hundred sixteen million, eight hundred four thousand, ninety-six".