217431228960 has 576 divisors, whose sum is σ = 844836894720. Its totient is φ = 52370426880.

The previous prime is 217431228943. The next prime is 217431228961. The reversal of 217431228960 is 69822134712.

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 (217431228961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69710281 + ... + 69713399.

It is an arithmetic number, because the mean of its divisors is an integer number (1466730720).

Almost surely, 2^217431228960 is an apocalyptic number.

217431228960 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 217431228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422418447360).

217431228960 is an abundant number, since it is smaller than the sum of its proper divisors (627405665760).

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

217431228960 is a wasteful number, since it uses less digits than its factorization.

217431228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 217431228960 in words is "two hundred seventeen billion, four hundred thirty-one million, two hundred twenty-eight thousand, nine hundred sixty".