211960892264 has 192 divisors, whose sum is σ = 464294376000. Its totient is φ = 89931663360.

The previous prime is 211960892263. The next prime is 211960892327. The reversal of 211960892264 is 462298069112.

211960892264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211960892261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628963904 + ... + 628964240.

It is an arithmetic number, because the mean of its divisors is an integer number (2418199875).

Almost surely, 2^211960892264 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 211960892264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232147188000).

211960892264 is an abundant number, since it is smaller than the sum of its proper divisors (252333483736).

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

211960892264 is a wasteful number, since it uses less digits than its factorization.

211960892264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 211960892264 in words is "two hundred eleven billion, nine hundred sixty million, eight hundred ninety-two thousand, two hundred sixty-four".