216716660160 has 896 divisors, whose sum is σ = 932775782400. Its totient is φ = 41166766080.

The previous prime is 216716660141. The next prime is 216716660231. The reversal of 216716660160 is 61066617612.

It is a happy number.

It is a super-2 number, since 2×216716660160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104743606 + ... + 104745674.

It is an arithmetic number, because the mean of its divisors is an integer number (1041044400).

Almost surely, 2^216716660160 is an apocalyptic number.

216716660160 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 216716660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466387891200).

216716660160 is an abundant number, since it is smaller than the sum of its proper divisors (716059122240).

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

216716660160 is a wasteful number, since it uses less digits than its factorization.

216716660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 216716660160 in words is "two hundred sixteen billion, seven hundred sixteen million, six hundred sixty thousand, one hundred sixty".