512011967604930 has 320 divisors, whose sum is σ = 1530994393893888. Its totient is φ = 121926634283520.

The previous prime is 512011967604881. The next prime is 512011967604947. The reversal of 512011967604930 is 39406769110215.

512011967604930 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 1 + 1 + 96 + 7 + 60 + 493 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 964988289 + ... + 965518731.

Almost surely, 2^{512011967604930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512011967604930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765497196946944).

512011967604930 is an abundant number, since it is smaller than the sum of its proper divisors (1018982426288958).

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

512011967604930 is a wasteful number, since it uses less digits than its factorization.

512011967604930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533463 (or 533454 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 512011967604930 in words is "five hundred twelve trillion, eleven billion, nine hundred sixty-seven million, six hundred four thousand, nine hundred thirty".