508979911680 has 704 divisors, whose sum is σ = 1860858593280. Its totient is φ = 131876978688.

The previous prime is 508979911679. The next prime is 508979911703. The reversal of 508979911680 is 86119979805.

508979911680 is a `hidden beast` number, since 508 + 9 + 7 + 9 + 9 + 116 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930493167 + ... + 930493713.

Almost surely, 2^508979911680 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 508979911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930429296640).

508979911680 is an abundant number, since it is smaller than the sum of its proper divisors (1351878681600).

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

508979911680 is a wasteful number, since it uses less digits than its factorization.

508979911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 508979911680 in words is "five hundred eight billion, nine hundred seventy-nine million, nine hundred eleven thousand, six hundred eighty".