211117875904 has 112 divisors (see below), whose sum is σ = 459961488000. Its totient is φ = 95555506176.

The previous prime is 211117875887. The next prime is 211117875919. The reversal of 211117875904 is 409578711112.

211117875904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9782694 + ... + 9804250.

It is an arithmetic number, because the mean of its divisors is an integer number (4106799000).

Almost surely, 2^211117875904 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 211117875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229980744000).

211117875904 is an abundant number, since it is smaller than the sum of its proper divisors (248843612096).

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

211117875904 is a wasteful number, since it uses less digits than its factorization.

211117875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21810 (or 21800 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 46.

The spelling of 211117875904 in words is "two hundred eleven billion, one hundred seventeen million, eight hundred seventy-five thousand, nine hundred four".