516538024704 has 216 divisors, whose sum is σ = 1654035500880. Its totient is φ = 158934417408.

The previous prime is 516538024631. The next prime is 516538024753. The reversal of 516538024704 is 407420835615.

516538024704 is a `hidden beast` number, since 51 + 6 + 53 + 80 + 2 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×516538024704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516538024704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947032 + ... + 1389224.

Almost surely, 2^516538024704 is an apocalyptic number.

516538024704 is a gapful number since it is divisible by the number (54) 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 516538024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827017750440).

516538024704 is an abundant number, since it is smaller than the sum of its proper divisors (1137497476176).

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

516538024704 is a wasteful number, since it uses less digits than its factorization.

516538024704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442244 (or 442211 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 516538024704 in words is "five hundred sixteen billion, five hundred thirty-eight million, twenty-four thousand, seven hundred four".