10966265856 has 468 divisors, whose sum is σ = 39767567112. Its totient is φ = 2886008832.

The previous prime is 10966265851. The next prime is 10966265897. The reversal of 10966265856 is 65856266901.

10966265856 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 626 + 5 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966265851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23482135 + ... + 23482601.

It is an arithmetic number, because the mean of its divisors is an integer number (84973434).

Almost surely, 2^10966265856 is an apocalyptic number.

10966265856 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 10966265856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883783556).

10966265856 is an abundant number, since it is smaller than the sum of its proper divisors (28801301256).

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

10966265856 is a wasteful number, since it uses less digits than its factorization.

10966265856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 10966265856 in words is "ten billion, nine hundred sixty-six million, two hundred sixty-five thousand, eight hundred fifty-six".