216216136083200 has 432 divisors, whose sum is σ = 618941498542080. Its totient is φ = 74031335424000.

The previous prime is 216216136083197. The next prime is 216216136083209. The reversal of 216216136083200 is 2380631612612.

216216136083200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216216136083200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216216136083209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79409981 + ... + 82087619.

Almost surely, 2^{216216136083200} is an apocalyptic number.

216216136083200 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 216216136083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309470749271040).

216216136083200 is an abundant number, since it is smaller than the sum of its proper divisors (402725362458880).

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

216216136083200 is a wasteful number, since it uses less digits than its factorization.

216216136083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677744 (or 2677725 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

Adding to 216216136083200 its reverse (2380631612612), we get a palindrome (218596767695812).

The spelling of 216216136083200 in words is "two hundred sixteen trillion, two hundred sixteen billion, one hundred thirty-six million, eighty-three thousand, two hundred".