216508930560 has 400 divisors, whose sum is σ = 835128251496. Its totient is φ = 53293842432.

The previous prime is 216508930559. The next prime is 216508930619. The reversal of 216508930560 is 65039805612.

216508930560 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 0 + 89 + 3 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80719628544 + 135789302016 = 284112^2 + 368496^2 .

It is a super-2 number, since 2×216508930560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2655522 + ... + 2735838.

Almost surely, 2^216508930560 is an apocalyptic number.

216508930560 is a gapful number since it is divisible by the number (20) 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 216508930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417564125748).

216508930560 is an abundant number, since it is smaller than the sum of its proper divisors (618619320936).

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

216508930560 is an equidigital number, since it uses as much as digits as its factorization.

216508930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80365 (or 80340 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 216508930560 in words is "two hundred sixteen billion, five hundred eight million, nine hundred thirty thousand, five hundred sixty".