211612171680 has 1536 divisors, whose sum is σ = 984362803200. Its totient is φ = 41206579200.

The previous prime is 211612171663. The next prime is 211612171703. The reversal of 211612171680 is 86171216112.

211612171680 is a `hidden beast` number, since 2 + 11 + 612 + 17 + 16 + 8 + 0 = 666.

It is a super-2 number, since 2×211612171680² (a number of 23 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 306240135 + ... + 306240825.

It is an arithmetic number, because the mean of its divisors is an integer number (640861200).

Almost surely, 2^211612171680 is an apocalyptic number.

211612171680 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 211612171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492181401600).

211612171680 is an abundant number, since it is smaller than the sum of its proper divisors (772750631520).

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

211612171680 is a wasteful number, since it uses less digits than its factorization.

211612171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

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

Adding to 211612171680 its reverse (86171216112), we get a palindrome (297783387792).

The spelling of 211612171680 in words is "two hundred eleven billion, six hundred twelve million, one hundred seventy-one thousand, six hundred eighty".