212164116480 has 576 divisors, whose sum is σ = 773322961320. Its totient is φ = 55802068992.

The previous prime is 212164116457. The next prime is 212164116497. The reversal of 212164116480 is 84611461212.

212164116480 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 6 + 4 + 1 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×212164116480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2906357724 + ... + 2906357796.

Almost surely, 2^212164116480 is an apocalyptic number.

212164116480 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 212164116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386661480660).

212164116480 is an abundant number, since it is smaller than the sum of its proper divisors (561158844840).

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

212164116480 is an frugal number, since it uses more digits than its factorization.

212164116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 212164116480 its reverse (84611461212), we get a palindrome (296775577692).

The spelling of 212164116480 in words is "two hundred twelve billion, one hundred sixty-four million, one hundred sixteen thousand, four hundred eighty".