217975120160 has 144 divisors (see below), whose sum is σ = 599278289400. Its totient is φ = 74704896000.

The previous prime is 217975120093. The next prime is 217975120169. The reversal of 217975120160 is 61021579712.

It can be written as a sum of positive squares in 4 ways, for example, as 159625819024 + 58349301136 = 399532^2 + 241556^2 .

It is not an unprimeable number, because it can be changed into a prime (217975120169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31364366 + ... + 31371314.

Almost surely, 2^217975120160 is an apocalyptic number.

217975120160 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 217975120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299639144700).

217975120160 is an abundant number, since it is smaller than the sum of its proper divisors (381303169240).

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

217975120160 is a wasteful number, since it uses less digits than its factorization.

217975120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

Adding to 217975120160 its reverse (61021579712), we get a palindrome (278996699872).

The spelling of 217975120160 in words is "two hundred seventeen billion, nine hundred seventy-five million, one hundred twenty thousand, one hundred sixty".