216648278560 has 288 divisors, whose sum is σ = 613815375600. Its totient is φ = 71996940288.

The previous prime is 216648278531. The next prime is 216648278573. The reversal of 216648278560 is 65872846612.

It can be written as a sum of positive squares in 8 ways, for example, as 214506069904 + 2142208656 = 463148^2 + 46284^2 .

It is a super-2 number, since 2×216648278560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84992166 + ... + 84994714.

Almost surely, 2^216648278560 is an apocalyptic number.

216648278560 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 216648278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306907687800).

216648278560 is an abundant number, since it is smaller than the sum of its proper divisors (397167097040).

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

216648278560 is a wasteful number, since it uses less digits than its factorization.

216648278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 216648278560 in words is "two hundred sixteen billion, six hundred forty-eight million, two hundred seventy-eight thousand, five hundred sixty".