216518860558624 has 288 divisors, whose sum is σ = 491686257464640. Its totient is φ = 93487355559936.

The previous prime is 216518860558597. The next prime is 216518860558657. The reversal of 216518860558624 is 426855068815612.

It is a self number, because there is not a number n which added to its sum of digits gives 216518860558624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10641306019 + ... + 10641326365.

It is an arithmetic number, because the mean of its divisors is an integer number (1707243949530).

Almost surely, 2^{216518860558624} 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 216518860558624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245843128732320).

216518860558624 is an abundant number, since it is smaller than the sum of its proper divisors (275167396906016).

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

216518860558624 is a wasteful number, since it uses less digits than its factorization.

216518860558624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21092 (or 21071 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 67.

The spelling of 216518860558624 in words is "two hundred sixteen trillion, five hundred eighteen billion, eight hundred sixty million, five hundred fifty-eight thousand, six hundred twenty-four".