211082252629920 has 3072 divisors, whose sum is σ = 860321710080000. Its totient is φ = 43324968960000.

The previous prime is 211082252629891. The next prime is 211082252629933. The reversal of 211082252629920 is 29926252280112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 840965149795 + ... + 840965150045.

It is an arithmetic number, because the mean of its divisors is an integer number (280052640000).

Almost surely, 2^{211082252629920} is an apocalyptic number.

211082252629920 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 211082252629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430160855040000).

211082252629920 is an abundant number, since it is smaller than the sum of its proper divisors (649239457450080).

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

211082252629920 is a wasteful number, since it uses less digits than its factorization.

211082252629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 211082252629920 in words is "two hundred eleven trillion, eighty-two billion, two hundred fifty-two million, six hundred twenty-nine thousand, nine hundred twenty".