216255600 has 360 divisors, whose sum is σ = 844326912. Its totient is φ = 50803200.

The previous prime is 216255593. The next prime is 216255617. The reversal of 216255600 is 6552612.

216255600 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 55 + 600 = 666.

216255600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1702737 + ... + 1702863.

Almost surely, 2^216255600 is an apocalyptic number.

216255600 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 216255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422163456).

216255600 is an abundant number, since it is smaller than the sum of its proper divisors (628071312).

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

216255600 is a wasteful number, since it uses less digits than its factorization.

216255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 216255600 is about 14705.6315743323. The cubic root of 216255600 is about 600.2365733761.

It can be divided in two parts, 21625 and 5600, that added together give a square (27225 = 165²).

The spelling of 216255600 in words is "two hundred sixteen million, two hundred fifty-five thousand, six hundred".