516665803893120 has 3584 divisors, whose sum is σ = 2317121599150080. Its totient is φ = 107411147587584.

The previous prime is 516665803893047. The next prime is 516665803893139. The reversal of 516665803893120 is 21398308566615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 334844979069 + ... + 334844980611.

Almost surely, 2^{516665803893120} 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 516665803893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158560799575040).

516665803893120 is an abundant number, since it is smaller than the sum of its proper divisors (1800455795256960).

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

516665803893120 is a wasteful number, since it uses less digits than its factorization.

516665803893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 516665803893120 in words is "five hundred sixteen trillion, six hundred sixty-five billion, eight hundred three million, eight hundred ninety-three thousand, one hundred twenty".