213448435200 has 1920 divisors, whose sum is σ = 1053622563840. Its totient is φ = 40874803200.

The previous prime is 213448435163. The next prime is 213448435267. The reversal of 213448435200 is 2534844312.

213448435200 is a `hidden beast` number, since 2 + 1 + 3 + 448 + 4 + 3 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 345945292 + ... + 345945908.

It is an arithmetic number, because the mean of its divisors is an integer number (548761752).

Almost surely, 2^213448435200 is an apocalyptic number.

213448435200 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 213448435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526811281920).

213448435200 is an abundant number, since it is smaller than the sum of its proper divisors (840174128640).

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

213448435200 is a wasteful number, since it uses less digits than its factorization.

213448435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 213448435200 in words is "two hundred thirteen billion, four hundred forty-eight million, four hundred thirty-five thousand, two hundred".