516097864800 has 864 divisors, whose sum is σ = 2223442690560. Its totient is φ = 110074060800.

The previous prime is 516097864769. The next prime is 516097864811. The reversal of 516097864800 is 8468790615.

516097864800 is a `hidden beast` number, since 516 + 0 + 9 + 7 + 86 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×516097864800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47521771 + ... + 47532629.

It is an arithmetic number, because the mean of its divisors is an integer number (2573429040).

Almost surely, 2^516097864800 is an apocalyptic number.

516097864800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516097864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111721345280).

516097864800 is an abundant number, since it is smaller than the sum of its proper divisors (1707344825760).

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

516097864800 is a wasteful number, since it uses less digits than its factorization.

516097864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 516097864800 in words is "five hundred sixteen billion, ninety-seven million, eight hundred sixty-four thousand, eight hundred".