216083064960 has 896 divisors, whose sum is σ = 894742041600. Its totient is φ = 48856670208.

The previous prime is 216083064881. The next prime is 216083064971. The reversal of 216083064960 is 69460380612.

216083064960 is a `hidden beast` number, since 2 + 1 + 608 + 30 + 6 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 355984977 + ... + 355985583.

Almost surely, 2^216083064960 is an apocalyptic number.

216083064960 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 216083064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447371020800).

216083064960 is an abundant number, since it is smaller than the sum of its proper divisors (678658976640).

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

216083064960 is an equidigital number, since it uses as much as digits as its factorization.

216083064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 216083064960 in words is "two hundred sixteen billion, eighty-three million, sixty-four thousand, nine hundred sixty".