210216954396672 has 1536 divisors, whose sum is σ = 678379732992000. Its totient is φ = 62507565711360.

The previous prime is 210216954396587. The next prime is 210216954396707. The reversal of 210216954396672 is 276693459612012.

It is a happy number.

210216954396672 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 16 + 9 + 543 + 9 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879568846729 + ... + 879568846967.

It is an arithmetic number, because the mean of its divisors is an integer number (441653472000).

Almost surely, 2^{210216954396672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210216954396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339189866496000).

210216954396672 is an abundant number, since it is smaller than the sum of its proper divisors (468162778595328).

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

210216954396672 is a wasteful number, since it uses less digits than its factorization.

210216954396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 210216954396672 in words is "two hundred ten trillion, two hundred sixteen billion, nine hundred fifty-four million, three hundred ninety-six thousand, six hundred seventy-two".