211715216460 has 144 divisors (see below), whose sum is σ = 702571877280. Its totient is φ = 51179335680.

The previous prime is 211715216459. The next prime is 211715216483. The reversal of 211715216460 is 64612517112.

211715216460 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 1 + 5 + 2 + 1 + 646 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547486 + ... + 850394.

It is an arithmetic number, because the mean of its divisors is an integer number (4878971370).

Almost surely, 2^211715216460 is an apocalyptic number.

211715216460 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 211715216460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351285938640).

211715216460 is an abundant number, since it is smaller than the sum of its proper divisors (490856660820).

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

211715216460 is a wasteful number, since it uses less digits than its factorization.

211715216460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303288 (or 303283 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 211715216460 in words is "two hundred eleven billion, seven hundred fifteen million, two hundred sixteen thousand, four hundred sixty".