509068082016 has 240 divisors, whose sum is σ = 1613187553824. Its totient is φ = 156552155136.

The previous prime is 509068081979. The next prime is 509068082051. The reversal of 509068082016 is 610280860905.

509068082016 is a `hidden beast` number, since 509 + 0 + 68 + 0 + 82 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97277736 + ... + 97282968.

Almost surely, 2^509068082016 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 509068082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806593776912).

509068082016 is an abundant number, since it is smaller than the sum of its proper divisors (1104119471808).

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

509068082016 is a wasteful number, since it uses less digits than its factorization.

509068082016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8155 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 509068082016 in words is "five hundred nine billion, sixty-eight million, eighty-two thousand, sixteen".