217150362113180 has 192 divisors, whose sum is σ = 491236079023872. Its totient is φ = 80341999288320.

The previous prime is 217150362113159. The next prime is 217150362113183. The reversal of 217150362113180 is 81311263051712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217150362113183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5579240120 + ... + 5579279040.

It is an arithmetic number, because the mean of its divisors is an integer number (2558521244916).

Almost surely, 2^{217150362113180} is an apocalyptic number.

217150362113180 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 217150362113180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245618039511936).

217150362113180 is an abundant number, since it is smaller than the sum of its proper divisors (274085716910692).

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

217150362113180 is a wasteful number, since it uses less digits than its factorization.

217150362113180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40224 (or 40222 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 217150362113180 in words is "two hundred seventeen trillion, one hundred fifty billion, three hundred sixty-two million, one hundred thirteen thousand, one hundred eighty".