217845072000 has 512 divisors, whose sum is σ = 849624422400. Its totient is φ = 54672998400.

The previous prime is 217845071959. The next prime is 217845072007. The reversal of 217845072000 is 270548712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (217845072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7329169 + ... + 7358831.

It is an arithmetic number, because the mean of its divisors is an integer number (1659422700).

Almost surely, 2^217845072000 is an apocalyptic number.

217845072000 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 217845072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424812211200).

217845072000 is an abundant number, since it is smaller than the sum of its proper divisors (631779350400).

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

217845072000 is a wasteful number, since it uses less digits than its factorization.

217845072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29718 (or 29690 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 217845072000 in words is "two hundred seventeen billion, eight hundred forty-five million, seventy-two thousand".