217578490272 has 864 divisors, whose sum is σ = 782573762880. Its totient is φ = 56673976320.

The previous prime is 217578490201. The next prime is 217578490301. The reversal of 217578490272 is 272094875712.

217578490272 is a `hidden beast` number, since 2 + 1 + 7 + 578 + 49 + 0 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 742588558 + ... + 742588850.

It is an arithmetic number, because the mean of its divisors is an integer number (905756670).

Almost surely, 2^217578490272 is an apocalyptic number.

217578490272 is a gapful number since it is divisible by the number (22) 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 217578490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391286881440).

217578490272 is an abundant number, since it is smaller than the sum of its proper divisors (564995272608).

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

217578490272 is a wasteful number, since it uses less digits than its factorization.

217578490272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 217578490272 in words is "two hundred seventeen billion, five hundred seventy-eight million, four hundred ninety thousand, two hundred seventy-two".