516989909376 has 384 divisors, whose sum is σ = 1554161955840. Its totient is φ = 164846223360.

The previous prime is 516989909353. The next prime is 516989909377. The reversal of 516989909376 is 673909989615.

516989909376 is a `hidden beast` number, since 5 + 169 + 8 + 9 + 90 + 9 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516989909377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473000286 + ... + 473001378.

It is an arithmetic number, because the mean of its divisors is an integer number (4047296760).

Almost surely, 2^516989909376 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 516989909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777080977920).

516989909376 is an abundant number, since it is smaller than the sum of its proper divisors (1037172046464).

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

516989909376 is a wasteful number, since it uses less digits than its factorization.

516989909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 516989909376 in words is "five hundred sixteen billion, nine hundred eighty-nine million, nine hundred nine thousand, three hundred seventy-six".