217028471088 has 240 divisors, whose sum is σ = 668539898208. Its totient is φ = 60261273600.

The previous prime is 217028471081. The next prime is 217028471111. The reversal of 217028471088 is 880174820712.

217028471088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (217028471081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10333558 + ... + 10354538.

Almost surely, 2^217028471088 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 217028471088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334269949104).

217028471088 is an abundant number, since it is smaller than the sum of its proper divisors (451511427120).

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

217028471088 is a wasteful number, since it uses less digits than its factorization.

217028471088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21164 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 217028471088 in words is "two hundred seventeen billion, twenty-eight million, four hundred seventy-one thousand, eighty-eight".