512150066712 has 192 divisors, whose sum is σ = 1444544992800. Its totient is φ = 163726295040.

The previous prime is 512150066699. The next prime is 512150066737. The reversal of 512150066712 is 217660051215.

512150066712 is a `hidden beast` number, since 5 + 1 + 21 + 500 + 66 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225914203 + ... + 225916469.

Almost surely, 2^512150066712 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 512150066712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722272496400).

512150066712 is an abundant number, since it is smaller than the sum of its proper divisors (932394926088).

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

512150066712 is a wasteful number, since it uses less digits than its factorization.

512150066712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 512150066712 in words is "five hundred twelve billion, one hundred fifty million, sixty-six thousand, seven hundred twelve".