213635896800 has 144 divisors (see below), whose sum is σ = 697652347392. Its totient is φ = 56783808000.

The previous prime is 213635896751. The next prime is 213635896807. The reversal of 213635896800 is 8698536312.

It is a happy number.

213635896800 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 (213635896807) 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 23 ways as a sum of consecutive naturals, for example, 591825 + ... + 881775.

It is an arithmetic number, because the mean of its divisors is an integer number (4844807968).

Almost surely, 2^213635896800 is an apocalyptic number.

213635896800 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 213635896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348826173696).

213635896800 is an abundant number, since it is smaller than the sum of its proper divisors (484016450592).

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

213635896800 is a wasteful number, since it uses less digits than its factorization.

213635896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290281 (or 290268 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 213635896800 in words is "two hundred thirteen billion, six hundred thirty-five million, eight hundred ninety-six thousand, eight hundred".