211880022144 has 512 divisors, whose sum is σ = 685847347200. Its totient is φ = 56686694400.

The previous prime is 211880022143. The next prime is 211880022173. The reversal of 211880022144 is 441220088112.

It is not an unprimeable number, because it can be changed into a prime (211880022143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349060689 + ... + 349061295.

It is an arithmetic number, because the mean of its divisors is an integer number (1339545600).

Almost surely, 2^211880022144 is an apocalyptic number.

211880022144 is a gapful number since it is divisible by the number (24) 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 211880022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342923673600).

211880022144 is an abundant number, since it is smaller than the sum of its proper divisors (473967325056).

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

211880022144 is a wasteful number, since it uses less digits than its factorization.

211880022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 211880022144 in words is "two hundred eleven billion, eight hundred eighty million, twenty-two thousand, one hundred forty-four".