217000190509056 has 1536 divisors, whose sum is σ = 709227529344000. Its totient is φ = 65521764532224.

The previous prime is 217000190509033. The next prime is 217000190509099. The reversal of 217000190509056 is 650905091000712.

217000190509056 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 0 + 0 + 1 + 90 + 509 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×217000190509056² (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, 907950587785 + ... + 907950588023.

It is an arithmetic number, because the mean of its divisors is an integer number (461736672750).

Almost surely, 2^{217000190509056} 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 217000190509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354613764672000).

217000190509056 is an abundant number, since it is smaller than the sum of its proper divisors (492227338834944).

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

217000190509056 is an equidigital number, since it uses as much as digits as its factorization.

217000190509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 217000190509056 in words is "two hundred seventeen trillion, one hundred ninety million, five hundred nine thousand, fifty-six".