516003022080 has 1620 divisors, whose sum is σ = 2329592489532. Its totient is φ = 108689817600.

The previous prime is 516003022079. The next prime is 516003022091. The reversal of 516003022080 is 80220300615.

516003022080 is a `hidden beast` number, since 5 + 1 + 600 + 30 + 2 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37847367936 + 478155654144 = 194544^2 + 691488^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 858573780 + ... + 858574380.

Almost surely, 2^516003022080 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 516003022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164796244766).

516003022080 is an abundant number, since it is smaller than the sum of its proper divisors (1813589467452).

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

516003022080 is a wasteful number, since it uses less digits than its factorization.

516003022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 516003022080 its reverse (80220300615), we get a palindrome (596223322695).

The spelling of 516003022080 in words is "five hundred sixteen billion, three million, twenty-two thousand, eighty".