217028883200000 has 1152 divisors, whose sum is σ = 604506159129600. Its totient is φ = 77516144640000.

The previous prime is 217028883199969. The next prime is 217028883200027. The reversal of 217028883200000 is 2388820712.

It is a happy number.

It is a super-2 number, since 2×217028883200000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204166399469 + ... + 204166400531.

It is an arithmetic number, because the mean of its divisors is an integer number (524744929800).

Almost surely, 2^{217028883200000} is an apocalyptic number.

217028883200000 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 217028883200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302253079564800).

217028883200000 is an abundant number, since it is smaller than the sum of its proper divisors (387477275929600).

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

217028883200000 is an equidigital number, since it uses as much as digits as its factorization.

217028883200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 217028883200000 in words is "two hundred seventeen trillion, twenty-eight billion, eight hundred eighty-three million, two hundred thousand".