216908200512 has 224 divisors, whose sum is σ = 652188119040. Its totient is φ = 70661122560.

The previous prime is 216908200511. The next prime is 216908200517. The reversal of 216908200512 is 215002809612.

216908200512 is a `hidden beast` number, since 2 + 1 + 69 + 0 + 82 + 0 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216908200511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72037087 + ... + 72040097.

Almost surely, 2^216908200512 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 216908200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326094059520).

216908200512 is an abundant number, since it is smaller than the sum of its proper divisors (435279918528).

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

216908200512 is a wasteful number, since it uses less digits than its factorization.

216908200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 216908200512 in words is "two hundred sixteen billion, nine hundred eight million, two hundred thousand, five hundred twelve".