217960216320 has 1728 divisors, whose sum is σ = 944889200640. Its totient is φ = 42268262400.

The previous prime is 217960216307. The next prime is 217960216343. The reversal of 217960216320 is 23612069712.

It is a super-2 number, since 2×217960216320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2758990041 + ... + 2758990119.

It is an arithmetic number, because the mean of its divisors is an integer number (546810880).

Almost surely, 2^217960216320 is an apocalyptic number.

217960216320 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 217960216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472444600320).

217960216320 is an abundant number, since it is smaller than the sum of its proper divisors (726928984320).

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

217960216320 is a wasteful number, since it uses less digits than its factorization.

217960216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 217960216320 in words is "two hundred seventeen billion, nine hundred sixty million, two hundred sixteen thousand, three hundred twenty".