211006010880 has 1200 divisors, whose sum is σ = 926263237680. Its totient is φ = 45649723392.

The previous prime is 211006010863. The next prime is 211006010881. The reversal of 211006010880 is 88010600112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211006010881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193051614 + ... + 193052706.

Almost surely, 2^211006010880 is an apocalyptic number.

211006010880 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 211006010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463131618840).

211006010880 is an abundant number, since it is smaller than the sum of its proper divisors (715257226800).

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

211006010880 is a wasteful number, since it uses less digits than its factorization.

211006010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 211006010880 its reverse (88010600112), we get a palindrome (299016610992).

The spelling of 211006010880 in words is "two hundred eleven billion, six million, ten thousand, eight hundred eighty".