516960164600 has 96 divisors (see below), whose sum is σ = 1311981094800. Its totient is φ = 187873382400.

The previous prime is 516960164593. The next prime is 516960164603. The reversal of 516960164600 is 6461069615.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516960164603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3664166 + ... + 3802634.

Almost surely, 2^516960164600 is an apocalyptic number.

516960164600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516960164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655990547400).

516960164600 is an abundant number, since it is smaller than the sum of its proper divisors (795020930200).

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

516960164600 is a wasteful number, since it uses less digits than its factorization.

516960164600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140193 (or 140184 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 516960164600 in words is "five hundred sixteen billion, nine hundred sixty million, one hundred sixty-four thousand, six hundred".