516720000 has 160 divisors (see below), whose sum is σ = 1715919480. Its totient is φ = 137728000.

The previous prime is 516719933. The next prime is 516720011. The reversal of 516720000 is 27615.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (21) 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 19 ways as a sum of consecutive naturals, for example, 238924 + ... + 241076.

Almost surely, 2^516720000 is an apocalyptic number.

516720000 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 516720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857959740).

516720000 is an abundant number, since it is smaller than the sum of its proper divisors (1199199480).

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

516720000 is an equidigital number, since it uses as much as digits as its factorization.

516720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 516720000 is about 22731.4759749560. The cubic root of 516720000 is about 802.4508175330.

Adding to 516720000 its reverse (27615), we get a palindrome (516747615).

The spelling of 516720000 in words is "five hundred sixteen million, seven hundred twenty thousand".