516782777112 has 192 divisors, whose sum is σ = 1687094892000. Its totient is φ = 146129743872.

The previous prime is 516782777041. The next prime is 516782777129. The reversal of 516782777112 is 211777287615.

516782777112 is a `hidden beast` number, since 516 + 7 + 8 + 2 + 7 + 7 + 7 + 112 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 774964 + ... + 1278332.

Almost surely, 2^516782777112 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 516782777112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843547446000).

516782777112 is an abundant number, since it is smaller than the sum of its proper divisors (1170312114888).

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

516782777112 is a wasteful number, since it uses less digits than its factorization.

516782777112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503495 (or 503478 counting only the distinct ones).

The product of its digits is 2304960, while the sum is 54.

The spelling of 516782777112 in words is "five hundred sixteen billion, seven hundred eighty-two million, seven hundred seventy-seven thousand, one hundred twelve".