10216205664 has 96 divisors (see below), whose sum is σ = 30804592896. Its totient is φ = 2904061440.

The previous prime is 10216205663. The next prime is 10216205669. The reversal of 10216205664 is 46650261201.

10216205664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216205663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93799 + ... + 170969.

It is an arithmetic number, because the mean of its divisors is an integer number (320881176).

Almost surely, 2^10216205664 is an apocalyptic number.

10216205664 is a gapful number since it is divisible by the number (14) 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 10216205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402296448).

10216205664 is an abundant number, since it is smaller than the sum of its proper divisors (20588387232).

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

10216205664 is a wasteful number, since it uses less digits than its factorization.

10216205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77388 (or 77380 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 10216205664 its reverse (46650261201), we get a palindrome (56866466865).

The spelling of 10216205664 in words is "ten billion, two hundred sixteen million, two hundred five thousand, six hundred sixty-four".