216271712160 has 1152 divisors, whose sum is σ = 909824348160. Its totient is φ = 45721387008.

The previous prime is 216271712119. The next prime is 216271712161. The reversal of 216271712160 is 61217172612.

216271712160 is a `hidden beast` number, since 2 + 1 + 627 + 1 + 7 + 1 + 21 + 6 + 0 = 666.

216271712160 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 (36).

It is not an unprimeable number, because it can be changed into a prime (216271712161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1326820239 + ... + 1326820401.

It is an arithmetic number, because the mean of its divisors is an integer number (789778080).

Almost surely, 2^216271712160 is an apocalyptic number.

216271712160 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 216271712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454912174080).

216271712160 is an abundant number, since it is smaller than the sum of its proper divisors (693552636000).

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

216271712160 is a wasteful number, since it uses less digits than its factorization.

216271712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 216271712160 its reverse (61217172612), we get a palindrome (277488884772).

The spelling of 216271712160 in words is "two hundred sixteen billion, two hundred seventy-one million, seven hundred twelve thousand, one hundred sixty".