516960000 has 270 divisors, whose sum is σ = 1867745880. Its totient is φ = 137472000.

The previous prime is 516959969. The next prime is 516960013. The reversal of 516960000 is 69615.

516960000 is a `hidden beast` number, since 51 + 6 + 9 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439821 + ... + 1440179.

Almost surely, 2^516960000 is an apocalyptic number.

516960000 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 516960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933872940).

516960000 is an abundant number, since it is smaller than the sum of its proper divisors (1350785880).

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

516960000 is an equidigital number, since it uses as much as digits as its factorization.

516960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 516960000 is about 22736.7543857957. The cubic root of 516960000 is about 802.5750359278.

The spelling of 516960000 in words is "five hundred sixteen million, nine hundred sixty thousand".