211716550000 has 120 divisors (see below), whose sum is σ = 513646812000. Its totient is φ = 84533280000.

The previous prime is 211716549977. The next prime is 211716550027. The reversal of 211716550000 is 55617112.

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 23 ways as a sum of consecutive naturals, for example, 29946466 + ... + 29953534.

It is an arithmetic number, because the mean of its divisors is an integer number (4280390100).

Almost surely, 2^211716550000 is an apocalyptic number.

211716550000 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 211716550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256823406000).

211716550000 is an abundant number, since it is smaller than the sum of its proper divisors (301930262000).

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

211716550000 is an frugal number, since it uses more digits than its factorization.

211716550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 211716550000 in words is "two hundred eleven billion, seven hundred sixteen million, five hundred fifty thousand".