213368672000 has 288 divisors, whose sum is σ = 590840961984. Its totient is φ = 76118016000.

The previous prime is 213368671987. The next prime is 213368672017. The reversal of 213368672000 is 276863312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18650282 + ... + 18661718.

It is an arithmetic number, because the mean of its divisors is an integer number (2051531118).

Almost surely, 2^213368672000 is an apocalyptic number.

213368672000 is a gapful number since it is divisible by the number (20) 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 213368672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295420480992).

213368672000 is an abundant number, since it is smaller than the sum of its proper divisors (377472289984).

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

213368672000 is a wasteful number, since it uses less digits than its factorization.

213368672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 213368672000 in words is "two hundred thirteen billion, three hundred sixty-eight million, six hundred seventy-two thousand".