217469796960 has 384 divisors, whose sum is σ = 767317985280. Its totient is φ = 51420635136.

The previous prime is 217469796937. The next prime is 217469796961. The reversal of 217469796960 is 69697964712.

It is a super-2 number, since 2×217469796960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217469796891 and 217469796900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217469796961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18233559 + ... + 18245481.

It is an arithmetic number, because the mean of its divisors is an integer number (1998223920).

Almost surely, 2^217469796960 is an apocalyptic number.

217469796960 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 217469796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383658992640).

217469796960 is an abundant number, since it is smaller than the sum of its proper divisors (549848188320).

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

217469796960 is a wasteful number, since it uses less digits than its factorization.

217469796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 217469796960 in words is "two hundred seventeen billion, four hundred sixty-nine million, seven hundred ninety-six thousand, nine hundred sixty".