211971271680 has 1848 divisors, whose sum is σ = 948824293680. Its totient is φ = 45148078080.

The previous prime is 211971271663. The next prime is 211971271753. The reversal of 211971271680 is 86172179112.

It is a happy number.

211971271680 is a `hidden beast` number, since 211 + 97 + 1 + 271 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3474938850 + ... + 3474938910.

Almost surely, 2^211971271680 is an apocalyptic number.

211971271680 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 211971271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474412146840).

211971271680 is an abundant number, since it is smaller than the sum of its proper divisors (736853022000).

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

211971271680 is an equidigital number, since it uses as much as digits as its factorization.

211971271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 211971271680 in words is "two hundred eleven billion, nine hundred seventy-one million, two hundred seventy-one thousand, six hundred eighty".