216280147599360 has 672 divisors, whose sum is σ = 807641966371968. Its totient is φ = 53222013665280.

The previous prime is 216280147599343. The next prime is 216280147599361. The reversal of 216280147599360 is 63995741082612.

216280147599360 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 8 + 0 + 1 + 4 + 7 + 599 + 36 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (216280147599361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26276286445 + ... + 26276294675.

It is an arithmetic number, because the mean of its divisors is an integer number (1201848164244).

It is a 2-persistent number, because it is pandigital, and so is 2⋅216280147599360 = 432560295198720, but 3⋅216280147599360 = 648840442798080 is not.

Almost surely, 2^{216280147599360} is an apocalyptic number.

216280147599360 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 216280147599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403820983185984).

216280147599360 is an abundant number, since it is smaller than the sum of its proper divisors (591361818772608).

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

216280147599360 is a wasteful number, since it uses less digits than its factorization.

216280147599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 216280147599360 in words is "two hundred sixteen trillion, two hundred eighty billion, one hundred forty-seven million, five hundred ninety-nine thousand, three hundred sixty".