516978399168 has 672 divisors, whose sum is σ = 1910936821248. Its totient is φ = 129731788800.

The previous prime is 516978399163. The next prime is 516978399193. The reversal of 516978399168 is 861993879615.

516978399168 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 78 + 399 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 516978399096 and 516978399105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516978399163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194570896 + ... + 194573552.

It is an arithmetic number, because the mean of its divisors is an integer number (2843655984).

Almost surely, 2^516978399168 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 516978399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955468410624).

516978399168 is an abundant number, since it is smaller than the sum of its proper divisors (1393958422080).

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

516978399168 is a wasteful number, since it uses less digits than its factorization.

516978399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2828 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 516978399168 in words is "five hundred sixteen billion, nine hundred seventy-eight million, three hundred ninety-nine thousand, one hundred sixty-eight".