216563520 has 224 divisors, whose sum is σ = 749076480. Its totient is φ = 52807680.

The previous prime is 216563507. The next prime is 216563531. The reversal of 216563520 is 25365612.

216563520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565249 + ... + 565631.

Almost surely, 2^216563520 is an apocalyptic number.

216563520 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 216563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374538240).

216563520 is an abundant number, since it is smaller than the sum of its proper divisors (532512960).

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

216563520 is a wasteful number, since it uses less digits than its factorization.

216563520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 216563520 is about 14716.0973087296. The cubic root of 216563520 is about 600.5213246809.

The spelling of 216563520 in words is "two hundred sixteen million, five hundred sixty-three thousand, five hundred twenty".