216243367200 has 432 divisors, whose sum is σ = 903742781760. Its totient is φ = 49426744320.

The previous prime is 216243367177. The next prime is 216243367217. The reversal of 216243367200 is 2763342612.

216243367200 is a `hidden beast` number, since 2 + 1 + 624 + 3 + 3 + 6 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×216243367200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1281346 + ... + 1440254.

It is an arithmetic number, because the mean of its divisors is an integer number (2091997180).

Almost surely, 2^216243367200 is an apocalyptic number.

216243367200 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 216243367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451871390880).

216243367200 is an abundant number, since it is smaller than the sum of its proper divisors (687499414560).

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

216243367200 is a wasteful number, since it uses less digits than its factorization.

216243367200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158951 (or 158926 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 216243367200 in words is "two hundred sixteen billion, two hundred forty-three million, three hundred sixty-seven thousand, two hundred".