516871069920 has 576 divisors, whose sum is σ = 1932258392064. Its totient is φ = 130271016960.

The previous prime is 516871069837. The next prime is 516871069921. The reversal of 516871069920 is 29960178615.

516871069920 is a `hidden beast` number, since 516 + 8 + 7 + 10 + 6 + 99 + 20 = 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 (516871069921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51822054 + ... + 51832026.

It is an arithmetic number, because the mean of its divisors is an integer number (3354615264).

Almost surely, 2^516871069920 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 516871069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966129196032).

516871069920 is an abundant number, since it is smaller than the sum of its proper divisors (1415387322144).

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

516871069920 is a wasteful number, since it uses less digits than its factorization.

516871069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 516871069920 in words is "five hundred sixteen billion, eight hundred seventy-one million, sixty-nine thousand, nine hundred twenty".