211660248192 has 256 divisors, whose sum is σ = 601620480000. Its totient is φ = 65814368256.

The previous prime is 211660248143. The next prime is 211660248203. The reversal of 211660248192 is 291842066112.

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, 41345409 + ... + 41350527.

It is an arithmetic number, because the mean of its divisors is an integer number (2350080000).

Almost surely, 2^211660248192 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 211660248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300810240000).

211660248192 is an abundant number, since it is smaller than the sum of its proper divisors (389960231808).

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

211660248192 is a wasteful number, since it uses less digits than its factorization.

211660248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 211660248192 in words is "two hundred eleven billion, six hundred sixty million, two hundred forty-eight thousand, one hundred ninety-two".