213628589568 has 320 divisors, whose sum is σ = 660547008000. Its totient is φ = 68101005312.

The previous prime is 213628589501. The next prime is 213628589579. The reversal of 213628589568 is 865985826312.

213628589568 is a `hidden beast` number, since 2 + 1 + 3 + 62 + 8 + 5 + 8 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30174253 + ... + 30181331.

It is an arithmetic number, because the mean of its divisors is an integer number (2064209400).

Almost surely, 2^213628589568 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 213628589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330273504000).

213628589568 is an abundant number, since it is smaller than the sum of its proper divisors (446918418432).

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

213628589568 is an equidigital number, since it uses as much as digits as its factorization.

213628589568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7180 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 213628589568 in words is "two hundred thirteen billion, six hundred twenty-eight million, five hundred eighty-nine thousand, five hundred sixty-eight".