211351680 has 256 divisors, whose sum is σ = 762796800. Its totient is φ = 55987200.

The previous prime is 211351663. The next prime is 211351703. The reversal of 211351680 is 86153112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399605 + ... + 1399755.

It is an arithmetic number, because the mean of its divisors is an integer number (2979675).

Almost surely, 2^211351680 is an apocalyptic number.

211351680 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 211351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381398400).

211351680 is an abundant number, since it is smaller than the sum of its proper divisors (551445120).

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

211351680 is an frugal number, since it uses more digits than its factorization.

211351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 211351680 is about 14537.9393312808. The cubic root of 211351680 is about 595.6647514766.

The spelling of 211351680 in words is "two hundred eleven million, three hundred fifty-one thousand, six hundred eighty".