509968613376 has 192 divisors, whose sum is σ = 1559895526800. Its totient is φ = 159988580352.

The previous prime is 509968613353. The next prime is 509968613381. The reversal of 509968613376 is 673316869905.

509968613376 is a `hidden beast` number, since 5 + 0 + 9 + 9 + 6 + 8 + 613 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×509968613376² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4962645 + ... + 5064363.

Almost surely, 2^509968613376 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 509968613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779947763400).

509968613376 is an abundant number, since it is smaller than the sum of its proper divisors (1049926913424).

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

509968613376 is a wasteful number, since it uses less digits than its factorization.

509968613376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101772 (or 101741 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 509968613376 in words is "five hundred nine billion, nine hundred sixty-eight million, six hundred thirteen thousand, three hundred seventy-six".