516796663680 has 1152 divisors, whose sum is σ = 2088316339200. Its totient is φ = 116554014720.

The previous prime is 516796663673. The next prime is 516796663783. The reversal of 516796663680 is 86366697615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×516796663680² (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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6541729881 + ... + 6541729959.

It is an arithmetic number, because the mean of its divisors is an integer number (1812774600).

Almost surely, 2^516796663680 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 516796663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044158169600).

516796663680 is an abundant number, since it is smaller than the sum of its proper divisors (1571519675520).

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

516796663680 is a wasteful number, since it uses less digits than its factorization.

516796663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 516796663680 in words is "five hundred sixteen billion, seven hundred ninety-six million, six hundred sixty-three thousand, six hundred eighty".