516161327616 has 960 divisors, whose sum is σ = 1795978800000. Its totient is φ = 145835458560.

The previous prime is 516161327603. The next prime is 516161327623. The reversal of 516161327616 is 616723161615.

516161327616 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 6 + 1 + 3 + 27 + 616 = 666.

It is a super-2 number, since 2×516161327616² (a number of 24 digits) contains 22 as substring.

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, 3464169910 + ... + 3464170058.

It is an arithmetic number, because the mean of its divisors is an integer number (1870811250).

Almost surely, 2^516161327616 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 516161327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897989400000).

516161327616 is an abundant number, since it is smaller than the sum of its proper divisors (1279817472384).

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

516161327616 is a wasteful number, since it uses less digits than its factorization.

516161327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 516161327616 in words is "five hundred sixteen billion, one hundred sixty-one million, three hundred twenty-seven thousand, six hundred sixteen".