211991018400 has 1152 divisors, whose sum is σ = 934500188160. Its totient is φ = 45327237120.

The previous prime is 211991018383. The next prime is 211991018413. The reversal of 211991018400 is 4810199112.

211991018400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 163446552 + ... + 163447848.

It is an arithmetic number, because the mean of its divisors is an integer number (811198080).

Almost surely, 2^211991018400 is an apocalyptic number.

211991018400 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 211991018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467250094080).

211991018400 is an abundant number, since it is smaller than the sum of its proper divisors (722509169760).

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

211991018400 is a wasteful number, since it uses less digits than its factorization.

211991018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 211991018400 in words is "two hundred eleven billion, nine hundred ninety-one million, eighteen thousand, four hundred".