211329020160 has 432 divisors, whose sum is σ = 748965619584. Its totient is φ = 54999318528.

The previous prime is 211329020087. The next prime is 211329020167. The reversal of 211329020160 is 61020923112.

211329020160 is a `hidden beast` number, since 2 + 113 + 290 + 201 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (211329020167) 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 47 ways as a sum of consecutive naturals, for example, 87216709 + ... + 87219131.

It is an arithmetic number, because the mean of its divisors is an integer number (1733716712).

Almost surely, 2^211329020160 is an apocalyptic number.

211329020160 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 211329020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374482809792).

211329020160 is an abundant number, since it is smaller than the sum of its proper divisors (537636599424).

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

211329020160 is a wasteful number, since it uses less digits than its factorization.

211329020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 211329020160 its reverse (61020923112), we get a palindrome (272349943272).

The spelling of 211329020160 in words is "two hundred eleven billion, three hundred twenty-nine million, twenty thousand, one hundred sixty".