211493380568400 has 1920 divisors, whose sum is σ = 894783415910400. Its totient is φ = 46451310796800.

The previous prime is 211493380568357. The next prime is 211493380568429. The reversal of 211493380568400 is 4865083394112.

It is a happy number.

211493380568400 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 9 + 3 + 38 + 0 + 568 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 40200221770 + ... + 40200227030.

It is an arithmetic number, because the mean of its divisors is an integer number (466033029120).

Almost surely, 2^{211493380568400} is an apocalyptic number.

211493380568400 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 211493380568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447391707955200).

211493380568400 is an abundant number, since it is smaller than the sum of its proper divisors (683290035342000).

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

211493380568400 is a wasteful number, since it uses less digits than its factorization.

211493380568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 211493380568400 in words is "two hundred eleven trillion, four hundred ninety-three billion, three hundred eighty million, five hundred sixty-eight thousand, four hundred".