216788332322880 has 1120 divisors, whose sum is σ = 825705289221120. Its totient is φ = 53830199808000.

The previous prime is 216788332322879. The next prime is 216788332323041. The reversal of 216788332322880 is 88223233887612.

216788332322880 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 8 + 8 + 3 + 323 + 228 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 11573763115 + ... + 11573781845.

It is an arithmetic number, because the mean of its divisors is an integer number (737236865376).

Almost surely, 2^{216788332322880} is an apocalyptic number.

216788332322880 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 216788332322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412852644610560).

216788332322880 is an abundant number, since it is smaller than the sum of its proper divisors (608916956898240).

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

216788332322880 is a wasteful number, since it uses less digits than its factorization.

216788332322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181 (or 19162 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 216788332322880 in words is "two hundred sixteen trillion, seven hundred eighty-eight billion, three hundred thirty-two million, three hundred twenty-two thousand, eight hundred eighty".