216212693114880 has 6048 divisors, whose sum is σ = 1061455038160608. Its totient is φ = 40446071930880.

The previous prime is 216212693114879. The next prime is 216212693114933. The reversal of 216212693114880 is 88411396212612.

216212693114880 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 126 + 9 + 31 + 1 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9400551874549 + ... + 9400551874571.

It is an arithmetic number, because the mean of its divisors is an integer number (175505131971).

Almost surely, 2^{216212693114880} is an apocalyptic number.

216212693114880 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 216212693114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530727519080304).

216212693114880 is an abundant number, since it is smaller than the sum of its proper divisors (845242345045728).

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

216212693114880 is a wasteful number, since it uses less digits than its factorization.

216212693114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 216212693114880 in words is "two hundred sixteen trillion, two hundred twelve billion, six hundred ninety-three million, one hundred fourteen thousand, eight hundred eighty".