516896197520 has 160 divisors (see below), whose sum is σ = 1223212959360. Its totient is φ = 203116216320.

The previous prime is 516896197487. The next prime is 516896197523. The reversal of 516896197520 is 25791698615.

It is a self number, because there is not a number n which added to its sum of digits gives 516896197520.

It is not an unprimeable number, because it can be changed into a prime (516896197523) 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, 487177790 + ... + 487178850.

It is an arithmetic number, because the mean of its divisors is an integer number (7645080996).

Almost surely, 2^516896197520 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 516896197520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611606479680).

516896197520 is an abundant number, since it is smaller than the sum of its proper divisors (706316761840).

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

516896197520 is a wasteful number, since it uses less digits than its factorization.

516896197520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 516896197520 in words is "five hundred sixteen billion, eight hundred ninety-six million, one hundred ninety-seven thousand, five hundred twenty".