211709343000 has 256 divisors, whose sum is σ = 696297139200. Its totient is φ = 53407641600.

The previous prime is 211709342969. The next prime is 211709343011. The reversal of 211709343000 is 343907112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46908744 + ... + 46913256.

It is an arithmetic number, because the mean of its divisors is an integer number (2719910700).

Almost surely, 2^211709343000 is an apocalyptic number.

211709343000 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 211709343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348148569600).

211709343000 is an abundant number, since it is smaller than the sum of its proper divisors (484587796200).

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

211709343000 is a wasteful number, since it uses less digits than its factorization.

211709343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 211709343000 in words is "two hundred eleven billion, seven hundred nine million, three hundred forty-three thousand".