213711216400 has 120 divisors (see below), whose sum is σ = 564748148448. Its totient is φ = 77712976000.

The previous prime is 213711216373. The next prime is 213711216403. The reversal of 213711216400 is 4612117312.

213711216400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213711216403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 331695 + ... + 733105.

Almost surely, 2^213711216400 is an apocalyptic number.

213711216400 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 213711216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282374074224).

213711216400 is an abundant number, since it is smaller than the sum of its proper divisors (351036932048).

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

213711216400 is a wasteful number, since it uses less digits than its factorization.

213711216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401462 (or 401429 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

It can be divided in two parts, 2137112 and 16400, that added together give a palindrome (2153512).

The spelling of 213711216400 in words is "two hundred thirteen billion, seven hundred eleven million, two hundred sixteen thousand, four hundred".