213584606928 has 480 divisors, whose sum is σ = 767503376640. Its totient is φ = 53827338240.

The previous prime is 213584606887. The next prime is 213584606929. The reversal of 213584606928 is 829606485312.

213584606928 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 8 + 4 + 606 + 9 + 28 = 666.

213584606928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213584606929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277742928 + ... + 277743696.

It is an arithmetic number, because the mean of its divisors is an integer number (1598965368).

Almost surely, 2^213584606928 is an apocalyptic number.

213584606928 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 213584606928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383751688320).

213584606928 is an abundant number, since it is smaller than the sum of its proper divisors (553918769712).

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

213584606928 is a wasteful number, since it uses less digits than its factorization.

213584606928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 213584606928 in words is "two hundred thirteen billion, five hundred eighty-four million, six hundred six thousand, nine hundred twenty-eight".