211332640680 has 256 divisors, whose sum is σ = 812204582400. Its totient is φ = 47876935680.

The previous prime is 211332640679. The next prime is 211332640681. The reversal of 211332640680 is 86046233112.

211332640680 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 2 + 640 + 6 + 8 + 0 = 666.

211332640680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211332640679) and next prime (211332640681).

It is a super-2 number, since 2×211332640680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (211332640681) 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 63 ways as a sum of consecutive naturals, for example, 730590 + ... + 977970.

It is an arithmetic number, because the mean of its divisors is an integer number (3172674150).

Almost surely, 2^211332640680 is an apocalyptic number.

211332640680 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 211332640680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406102291200).

211332640680 is an abundant number, since it is smaller than the sum of its proper divisors (600871941720).

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

211332640680 is a wasteful number, since it uses less digits than its factorization.

211332640680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247521 (or 247511 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 211332640680 its reverse (86046233112), we get a palindrome (297378873792).

The spelling of 211332640680 in words is "two hundred eleven billion, three hundred thirty-two million, six hundred forty thousand, six hundred eighty".