516160000 has 100 divisors (see below), whose sum is σ = 1289526282. Its totient is φ = 206336000.

The previous prime is 516159991. The next prime is 516160019. The reversal of 516160000 is 61615.

It can be written as a sum of positive squares in 5 ways, for example, as 15116544 + 501043456 = 3888^2 + 22384^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×516160000² = 532842291200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516160000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319194 + ... + 320806.

Almost surely, 2^516160000 is an apocalyptic number.

516160000 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 516160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644763141).

516160000 is an abundant number, since it is smaller than the sum of its proper divisors (773366282).

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

516160000 is an frugal number, since it uses more digits than its factorization.

516160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 516160000 is about 22719.1549138607. The cubic root of 516160000 is about 802.1608249562.

The spelling of 516160000 in words is "five hundred sixteen million, one hundred sixty thousand".