516486143612160 has 864 divisors, whose sum is σ = 1863768918910080. Its totient is φ = 136943795404800.

The previous prime is 516486143612143. The next prime is 516486143612213. The reversal of 516486143612160 is 61216341684615.

516486143612160 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 8 + 6 + 1 + 4 + 3 + 612 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×516486143612160³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 516486143612097 and 516486143612106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57766033290 + ... + 57766042230.

Almost surely, 2^{516486143612160} 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 516486143612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931884459455040).

516486143612160 is an abundant number, since it is smaller than the sum of its proper divisors (1347282775297920).

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

516486143612160 is an equidigital number, since it uses as much as digits as its factorization.

516486143612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 9991 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 516486143612160 in words is "five hundred sixteen trillion, four hundred eighty-six billion, one hundred forty-three million, six hundred twelve thousand, one hundred sixty".