217271556152 has 96 divisors (see below), whose sum is σ = 472494722400. Its totient is φ = 91752175872.

The previous prime is 217271556143. The next prime is 217271556167. The reversal of 217271556152 is 251655172712.

It is a super-2 number, since 2×217271556152² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 136049018 + ... + 136050614.

It is an arithmetic number, because the mean of its divisors is an integer number (4921820025).

Almost surely, 2^217271556152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217271556152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236247361200).

217271556152 is an abundant number, since it is smaller than the sum of its proper divisors (255223166248).

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

217271556152 is a wasteful number, since it uses less digits than its factorization.

217271556152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 1938 counting only the distinct ones).

The product of its digits is 294000, while the sum is 44.

The spelling of 217271556152 in words is "two hundred seventeen billion, two hundred seventy-one million, five hundred fifty-six thousand, one hundred fifty-two".