211313217400 has 96 divisors (see below), whose sum is σ = 508167475200. Its totient is φ = 81634838400.

The previous prime is 211313217397. The next prime is 211313217407. The reversal of 211313217400 is 4712313112.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313217407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3084721 + ... + 3152479.

It is an arithmetic number, because the mean of its divisors is an integer number (5293411200).

Almost surely, 2^211313217400 is an apocalyptic number.

211313217400 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 211313217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254083737600).

211313217400 is an abundant number, since it is smaller than the sum of its proper divisors (296854257800).

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

211313217400 is a wasteful number, since it uses less digits than its factorization.

211313217400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68309 (or 68300 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 211313217400 in words is "two hundred eleven billion, three hundred thirteen million, two hundred seventeen thousand, four hundred".