516768581376 has 288 divisors, whose sum is σ = 1561268520000. Its totient is φ = 168543977472.

The previous prime is 516768581311. The next prime is 516768581377. The reversal of 516768581376 is 673185867615.

516768581376 is a `hidden beast` number, since 5 + 16 + 7 + 6 + 8 + 581 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516768581377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149829700 + ... + 149833148.

It is an arithmetic number, because the mean of its divisors is an integer number (5421071250).

Almost surely, 2^516768581376 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 516768581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780634260000).

516768581376 is an abundant number, since it is smaller than the sum of its proper divisors (1044499938624).

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

516768581376 is a wasteful number, since it uses less digits than its factorization.

516768581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3916 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 516768581376 in words is "five hundred sixteen billion, seven hundred sixty-eight million, five hundred eighty-one thousand, three hundred seventy-six".