217953785104 has 40 divisors (see below), whose sum is σ = 469367047872. Its totient is φ = 97200654720.

The previous prime is 217953785003. The next prime is 217953785143. The reversal of 217953785104 is 401587359712.

217953785104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×217953785104³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11673444 + ... + 11692099.

Almost surely, 2^217953785104 is an apocalyptic number.

It is an amenable number.

217953785104 is an abundant number, since it is smaller than the sum of its proper divisors (251413262768).

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

217953785104 is a wasteful number, since it uses less digits than its factorization.

217953785104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23365615 (or 23365609 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 217953785104 in words is "two hundred seventeen billion, nine hundred fifty-three million, seven hundred eighty-five thousand, one hundred four".