211716681120 has 192 divisors, whose sum is σ = 846866845440. Its totient is φ = 48392377344.

The previous prime is 211716681079. The next prime is 211716681179. The reversal of 211716681120 is 21186617112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3470367 + ... + 3530846.

It is an arithmetic number, because the mean of its divisors is an integer number (4410764820).

Almost surely, 2^211716681120 is an apocalyptic number.

211716681120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211716681120 is an abundant number, since it is smaller than the sum of its proper divisors (635150164320).

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

211716681120 is a wasteful number, since it uses less digits than its factorization.

211716681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001244 (or 7001230 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 211716681120 in words is "two hundred eleven billion, seven hundred sixteen million, six hundred eighty-one thousand, one hundred twenty".