211649218560 has 864 divisors, whose sum is σ = 808040862720. Its totient is φ = 51204980736.

The previous prime is 211649218549. The next prime is 211649218567. The reversal of 211649218560 is 65812946112.

211649218560 is a `hidden beast` number, since 2 + 1 + 1 + 64 + 9 + 21 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (211649218567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1666529217 + ... + 1666529343.

It is an arithmetic number, because the mean of its divisors is an integer number (935232480).

Almost surely, 2^211649218560 is an apocalyptic number.

211649218560 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 211649218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404020431360).

211649218560 is an abundant number, since it is smaller than the sum of its proper divisors (596391644160).

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

211649218560 is a wasteful number, since it uses less digits than its factorization.

211649218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 211649218560 in words is "two hundred eleven billion, six hundred forty-nine million, two hundred eighteen thousand, five hundred sixty".