10959255216 has 180 divisors, whose sum is σ = 37956545328. Its totient is φ = 2890308096.

The previous prime is 10959255149. The next prime is 10959255227. The reversal of 10959255216 is 61255295901.

10959255216 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 92 + 552 + 1 + 6 = 666.

10959255216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 138186 + ... + 202518.

Almost surely, 2^10959255216 is an apocalyptic number.

10959255216 is a gapful number since it is divisible by the number (16) 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 10959255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978272664).

10959255216 is an abundant number, since it is smaller than the sum of its proper divisors (26997290112).

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

10959255216 is a wasteful number, since it uses less digits than its factorization.

10959255216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64380 (or 64358 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 10959255216 in words is "ten billion, nine hundred fifty-nine million, two hundred fifty-five thousand, two hundred sixteen".