508788968688 has 960 divisors, whose sum is σ = 2033251863552. Its totient is φ = 114303467520.

The previous prime is 508788968683. The next prime is 508788968693. The reversal of 508788968688 is 886869887805.

It is an interprime number because it is at equal distance from previous prime (508788968683) and next prime (508788968693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508788968683) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 972827595 + ... + 972828117.

Almost surely, 2^508788968688 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 508788968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016625931776).

508788968688 is an abundant number, since it is smaller than the sum of its proper divisors (1524462894864).

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

508788968688 is a wasteful number, since it uses less digits than its factorization.

508788968688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 2972712960, while the sum is 81.

The spelling of 508788968688 in words is "five hundred eight billion, seven hundred eighty-eight million, nine hundred sixty-eight thousand, six hundred eighty-eight".