516865420800 has 720 divisors, whose sum is σ = 2031925484160. Its totient is φ = 124887121920.

The previous prime is 516865420787. The next prime is 516865420817. The reversal of 516865420800 is 8024568615.

516865420800 is a `hidden beast` number, since 5 + 168 + 65 + 420 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×516865420800² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50337267 + ... + 50347533.

It is an arithmetic number, because the mean of its divisors is an integer number (2822118728).

Almost surely, 2^516865420800 is an apocalyptic number.

516865420800 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 516865420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015962742080).

516865420800 is an abundant number, since it is smaller than the sum of its proper divisors (1515060063360).

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

516865420800 is a wasteful number, since it uses less digits than its factorization.

516865420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 516865420800 in words is "five hundred sixteen billion, eight hundred sixty-five million, four hundred twenty thousand, eight hundred".