516819522816 has 396 divisors, whose sum is σ = 1564213351680. Its totient is φ = 170413839360.

The previous prime is 516819522799. The next prime is 516819522829. The reversal of 516819522816 is 618225918615.

516819522816 is a `hidden beast` number, since 51 + 68 + 1 + 9 + 522 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2705861281 + ... + 2705861471.

Almost surely, 2^516819522816 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 516819522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782106675840).

516819522816 is an abundant number, since it is smaller than the sum of its proper divisors (1047393828864).

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

516819522816 is an frugal number, since it uses more digits than its factorization.

516819522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 375 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 516819522816 in words is "five hundred sixteen billion, eight hundred nineteen million, five hundred twenty-two thousand, eight hundred sixteen".