211000848000 has 256 divisors, whose sum is σ = 704995799040. Its totient is φ = 55822233600.

The previous prime is 211000847987. The next prime is 211000848041. The reversal of 211000848000 is 848000112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6078694 + ... + 6113306.

It is an arithmetic number, because the mean of its divisors is an integer number (2753889840).

Almost surely, 2^211000848000 is an apocalyptic number.

211000848000 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 211000848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352497899520).

211000848000 is an abundant number, since it is smaller than the sum of its proper divisors (493994951040).

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

211000848000 is a wasteful number, since it uses less digits than its factorization.

211000848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34772 (or 34750 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 211000848000 its reverse (848000112), we get a palindrome (211848848112).

The spelling of 211000848000 in words is "two hundred eleven billion, eight hundred forty-eight thousand".