213928387200 has 1440 divisors, whose sum is σ = 915949188000. Its totient is φ = 48995020800.

The previous prime is 213928387187. The next prime is 213928387207. The reversal of 213928387200 is 2783829312.

213928387200 is a `hidden beast` number, since 21 + 392 + 8 + 38 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (213928387207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 595900621 + ... + 595900979.

It is an arithmetic number, because the mean of its divisors is an integer number (636075825).

Almost surely, 2^213928387200 is an apocalyptic number.

213928387200 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 213928387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457974594000).

213928387200 is an abundant number, since it is smaller than the sum of its proper divisors (702020800800).

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

213928387200 is a wasteful number, since it uses less digits than its factorization.

213928387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 213928387200 in words is "two hundred thirteen billion, nine hundred twenty-eight million, three hundred eighty-seven thousand, two hundred".