211664062000 has 80 divisors (see below), whose sum is σ = 512017264512. Its totient is φ = 84630297600.

The previous prime is 211664061997. The next prime is 211664062003. The reversal of 211664062000 is 260466112.

It is an interprime number because it is at equal distance from previous prime (211664061997) and next prime (211664062003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 211664062000.

It is not an unprimeable number, because it can be changed into a prime (211664062003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5065192 + ... + 5106808.

Almost surely, 2^211664062000 is an apocalyptic number.

211664062000 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 211664062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256008632256).

211664062000 is an abundant number, since it is smaller than the sum of its proper divisors (300353202512).

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

211664062000 is a wasteful number, since it uses less digits than its factorization.

211664062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44183 (or 44167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 211664062000 in words is "two hundred eleven billion, six hundred sixty-four million, sixty-two thousand".