211226716400 has 240 divisors, whose sum is σ = 611358370560. Its totient is φ = 68511744000.

The previous prime is 211226716387. The next prime is 211226716409. The reversal of 211226716400 is 4617622112.

211226716400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211226716400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211226716409) 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 47 ways as a sum of consecutive naturals, for example, 43994000 + ... + 43998800.

It is an arithmetic number, because the mean of its divisors is an integer number (2547326544).

Almost surely, 2^211226716400 is an apocalyptic number.

211226716400 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 211226716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305679185280).

211226716400 is an abundant number, since it is smaller than the sum of its proper divisors (400131654160).

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

211226716400 is a wasteful number, since it uses less digits than its factorization.

211226716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 211226716400 in words is "two hundred eleven billion, two hundred twenty-six million, seven hundred sixteen thousand, four hundred".