211125911616 has 224 divisors, whose sum is σ = 632038156800. Its totient is φ = 69960485376.

The previous prime is 211125911609. The next prime is 211125911669. The reversal of 211125911616 is 616119521112.

It is a happy number.

211125911616 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 591 + 1 + 61 + 6 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 24210105 + ... + 24218823.

Almost surely, 2^211125911616 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 211125911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316019078400).

211125911616 is an abundant number, since it is smaller than the sum of its proper divisors (420912245184).

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

211125911616 is an frugal number, since it uses more digits than its factorization.

211125911616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8897 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The spelling of 211125911616 in words is "two hundred eleven billion, one hundred twenty-five million, nine hundred eleven thousand, six hundred sixteen".