216057600 has 486 divisors, whose sum is σ = 876450848. Its totient is φ = 50688000.

The previous prime is 216057581. The next prime is 216057613. The reversal of 216057600 is 6750612.

216057600 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 57 + 600 = 666.

216057600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 53 ways as a sum of consecutive naturals, for example, 6969585 + ... + 6969615.

Almost surely, 2^216057600 is an apocalyptic number.

216057600 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 216057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438225424).

216057600 is an abundant number, since it is smaller than the sum of its proper divisors (660393248).

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

216057600 is a wasteful number, since it uses less digits than its factorization.

216057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 216057600 is about 14698.8979178713. The cubic root of 216057600 is about 600.0533285933.

The spelling of 216057600 in words is "two hundred sixteen million, fifty-seven thousand, six hundred".