216050901120 has 768 divisors, whose sum is σ = 801506534400. Its totient is φ = 53506252800.

The previous prime is 216050901119. The next prime is 216050901167. The reversal of 216050901120 is 21109050612.

216050901120 is a `hidden beast` number, since 21 + 605 + 0 + 9 + 0 + 11 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023937815 + ... + 1023938025.

It is an arithmetic number, because the mean of its divisors is an integer number (1043628300).

Almost surely, 2^216050901120 is an apocalyptic number.

216050901120 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 216050901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400753267200).

216050901120 is an abundant number, since it is smaller than the sum of its proper divisors (585455633280).

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

216050901120 is a wasteful number, since it uses less digits than its factorization.

216050901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 216050901120 its reverse (21109050612), we get a palindrome (237159951732).

The spelling of 216050901120 in words is "two hundred sixteen billion, fifty million, nine hundred one thousand, one hundred twenty".