217066809960 has 2560 divisors, whose sum is σ = 1079094804480. Its totient is φ = 37623398400.

The previous prime is 217066809941. The next prime is 217066809989. The reversal of 217066809960 is 69908660712.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 217066809897 and 217066809906.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1709187417 + ... + 1709187543.

It is an arithmetic number, because the mean of its divisors is an integer number (421521408).

Almost surely, 2^217066809960 is an apocalyptic number.

217066809960 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 217066809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539547402240).

217066809960 is an abundant number, since it is smaller than the sum of its proper divisors (862027994520).

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

217066809960 is a wasteful number, since it uses less digits than its factorization.

217066809960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 217066809960 in words is "two hundred seventeen billion, sixty-six million, eight hundred nine thousand, nine hundred sixty".