217827728712 has 128 divisors (see below), whose sum is σ = 676183939200. Its totient is φ = 64398412800.

The previous prime is 217827728711. The next prime is 217827728717.

217827728712 is a `hidden beast` number, since 21 + 78 + 277 + 287 + 1 + 2 = 666.

217827728712 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (217827728711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020613 + ... + 1215444.

It is an arithmetic number, because the mean of its divisors is an integer number (5282687025).

Almost surely, 2^217827728712 is an apocalyptic number.

217827728712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

217827728712 is an abundant number, since it is smaller than the sum of its proper divisors (458356210488).

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

217827728712 is a wasteful number, since it uses less digits than its factorization.

217827728712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236124 (or 2236114 counting only the distinct ones).

The product of its digits is 2458624, while the sum is 54.

The spelling of 217827728712 in words is "two hundred seventeen billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, seven hundred twelve".