211008672000 has 1152 divisors, whose sum is σ = 899961753600. Its totient is φ = 47692800000.

The previous prime is 211008671999. The next prime is 211008672029. The reversal of 211008672000 is 276800112.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 840671875 + ... + 840672125.

It is an arithmetic number, because the mean of its divisors is an integer number (781216800).

Almost surely, 2^211008672000 is an apocalyptic number.

211008672000 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 211008672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449980876800).

211008672000 is an abundant number, since it is smaller than the sum of its proper divisors (688953081600).

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

211008672000 is a wasteful number, since it uses less digits than its factorization.

211008672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 211008672000 in words is "two hundred eleven billion, eight million, six hundred seventy-two thousand".