211332042320 has 160 divisors (see below), whose sum is σ = 565652153088. Its totient is φ = 71927967744.

The previous prime is 211332042301. The next prime is 211332042331. The reversal of 211332042320 is 23240233112.

It is a super-2 number, since 2×211332042320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47413532 + ... + 47417988.

Almost surely, 2^211332042320 is an apocalyptic number.

211332042320 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 211332042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282826076544).

211332042320 is an abundant number, since it is smaller than the sum of its proper divisors (354320110768).

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

211332042320 is a wasteful number, since it uses less digits than its factorization.

211332042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 211332042320 its reverse (23240233112), we get a palindrome (234572275432).

The spelling of 211332042320 in words is "two hundred eleven billion, three hundred thirty-two million, forty-two thousand, three hundred twenty".