516071818080 has 1536 divisors, whose sum is σ = 2305787904000. Its totient is φ = 107101274112.

The previous prime is 516071818069. The next prime is 516071818109. The reversal of 516071818080 is 80818170615.

It is a super-2 number, since 2×516071818080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1406190057 + ... + 1406190423.

It is an arithmetic number, because the mean of its divisors is an integer number (1501164000).

Almost surely, 2^516071818080 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 516071818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152893952000).

516071818080 is an abundant number, since it is smaller than the sum of its proper divisors (1789716085920).

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

516071818080 is a wasteful number, since it uses less digits than its factorization.

516071818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

Adding to 516071818080 its reverse (80818170615), we get a palindrome (596889988695).

The spelling of 516071818080 in words is "five hundred sixteen billion, seventy-one million, eight hundred eighteen thousand, eighty".