516271916160 has 1280 divisors, whose sum is σ = 2475706464000. Its totient is φ = 99015229440.

The previous prime is 516271916159. The next prime is 516271916177. The reversal of 516271916160 is 61619172615.

516271916160 is a `hidden beast` number, since 5 + 1 + 6 + 27 + 1 + 9 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51886866 + ... + 51896814.

It is an arithmetic number, because the mean of its divisors is an integer number (1934145675).

Almost surely, 2^516271916160 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 516271916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237853232000).

516271916160 is an abundant number, since it is smaller than the sum of its proper divisors (1959434547840).

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

516271916160 is a wasteful number, since it uses less digits than its factorization.

516271916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 516271916160 in words is "five hundred sixteen billion, two hundred seventy-one million, nine hundred sixteen thousand, one hundred sixty".