10656216450 has 288 divisors, whose sum is σ = 32509294272. Its totient is φ = 2479680000.

The previous prime is 10656216433. The next prime is 10656216451. The reversal of 10656216450 is 5461265601.

10656216450 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 2 + 1 + 645 + 0 = 666.

10656216450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10656216450³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10656216451) 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 143 ways as a sum of consecutive naturals, for example, 15201100 + ... + 15201800.

It is an arithmetic number, because the mean of its divisors is an integer number (112879494).

Almost surely, 2^10656216450 is an apocalyptic number.

10656216450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656216450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254647136).

10656216450 is an abundant number, since it is smaller than the sum of its proper divisors (21853077822).

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

10656216450 is a wasteful number, since it uses less digits than its factorization.

10656216450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10656216450 in words is "ten billion, six hundred fifty-six million, two hundred sixteen thousand, four hundred fifty".