213725127168 has 720 divisors, whose sum is σ = 759595472064. Its totient is φ = 56652595200.

The previous prime is 213725127163. The next prime is 213725127169. The reversal of 213725127168 is 861721527312.

213725127168 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 512 + 71 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213725127163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 941520271 + ... + 941520497.

Almost surely, 2^213725127168 is an apocalyptic number.

213725127168 is a gapful number since it is divisible by the number (28) 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 213725127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379797736032).

213725127168 is an abundant number, since it is smaller than the sum of its proper divisors (545870344896).

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

213725127168 is a wasteful number, since it uses less digits than its factorization.

213725127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 357 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 213725127168 in words is "two hundred thirteen billion, seven hundred twenty-five million, one hundred twenty-seven thousand, one hundred sixty-eight".