211675041072 has 640 divisors, whose sum is σ = 701055129600. Its totient is φ = 61339576320.

The previous prime is 211675041049. The next prime is 211675041073. The reversal of 211675041072 is 270140576112.

211675041072 is a `hidden beast` number, since 2 + 11 + 67 + 504 + 10 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (211675041073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1267515133 + ... + 1267515299.

It is an arithmetic number, because the mean of its divisors is an integer number (1095398640).

Almost surely, 2^211675041072 is an apocalyptic number.

211675041072 is a gapful number since it is divisible by the number (22) 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 211675041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350527564800).

211675041072 is an abundant number, since it is smaller than the sum of its proper divisors (489380088528).

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

211675041072 is a wasteful number, since it uses less digits than its factorization.

211675041072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 211675041072 in words is "two hundred eleven billion, six hundred seventy-five million, forty-one thousand, seventy-two".