211321607328 has 432 divisors, whose sum is σ = 694777015296. Its totient is φ = 60685148160.

The previous prime is 211321607327. The next prime is 211321607339. The reversal of 211321607328 is 823706123112.

211321607328 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 21 + 607 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211321607292 and 211321607301.

It is not an unprimeable number, because it can be changed into a prime (211321607323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105081843 + ... + 105083853.

It is an arithmetic number, because the mean of its divisors is an integer number (1608280128).

Almost surely, 2^211321607328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211321607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347388507648).

211321607328 is an abundant number, since it is smaller than the sum of its proper divisors (483455407968).

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

211321607328 is a wasteful number, since it uses less digits than its factorization.

211321607328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 211321607328 in words is "two hundred eleven billion, three hundred twenty-one million, six hundred seven thousand, three hundred twenty-eight".