211500340000 has 120 divisors (see below), whose sum is σ = 520717317120. Its totient is φ = 84535968000.

The previous prime is 211500339991. The next prime is 211500340001. The reversal of 211500340000 is 43005112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211500340001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 33256821 + ... + 33263179.

It is an arithmetic number, because the mean of its divisors is an integer number (4339310976).

Almost surely, 2^211500340000 is an apocalyptic number.

211500340000 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 211500340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260358658560).

211500340000 is an abundant number, since it is smaller than the sum of its proper divisors (309216977120).

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

211500340000 is an equidigital number, since it uses as much as digits as its factorization.

211500340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 211500340000 its reverse (43005112), we get a palindrome (211543345112).

The spelling of 211500340000 in words is "two hundred eleven billion, five hundred million, three hundred forty thousand".