211443300068000 has 1536 divisors, whose sum is σ = 705422322468864. Its totient is φ = 60150988800000.

The previous prime is 211443300067991. The next prime is 211443300068009. The reversal of 211443300068000 is 860003344112.

It is an interprime number because it is at equal distance from previous prime (211443300067991) and next prime (211443300068009).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (211443300068009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 142770627260 + ... + 142770628740.

It is an arithmetic number, because the mean of its divisors is an integer number (459259324524).

Almost surely, 2^{211443300068000} is an apocalyptic number.

211443300068000 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 211443300068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352711161234432).

211443300068000 is an abundant number, since it is smaller than the sum of its proper divisors (493979022400864).

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

211443300068000 is a wasteful number, since it uses less digits than its factorization.

211443300068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 211443300068000 in words is "two hundred eleven trillion, four hundred forty-three billion, three hundred million, sixty-eight thousand".