516710084688 has 1600 divisors, whose sum is σ = 2017735999488. Its totient is φ = 124157214720.

The previous prime is 516710084687. The next prime is 516710084699. The reversal of 516710084688 is 886480017615.

It is a happy number.

516710084688 is a `hidden beast` number, since 5 + 167 + 10 + 0 + 8 + 468 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516710084687) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4068583281 + ... + 4068583407.

Almost surely, 2^516710084688 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 516710084688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008867999744).

516710084688 is an abundant number, since it is smaller than the sum of its proper divisors (1501025914800).

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

516710084688 is a wasteful number, since it uses less digits than its factorization.

516710084688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 516710084688 in words is "five hundred sixteen billion, seven hundred ten million, eighty-four thousand, six hundred eighty-eight".