10936966656 has 640 divisors, whose sum is σ = 39723171840. Its totient is φ = 2587852800.

The previous prime is 10936966627. The next prime is 10936966657. The reversal of 10936966656 is 65666963901.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 10936966596 and 10936966605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10936966657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69662130 + ... + 69662286.

It is an arithmetic number, because the mean of its divisors is an integer number (62067456).

Almost surely, 2^10936966656 is an apocalyptic number.

10936966656 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 10936966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861585920).

10936966656 is an abundant number, since it is smaller than the sum of its proper divisors (28786205184).

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

10936966656 is a wasteful number, since it uses less digits than its factorization.

10936966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

The spelling of 10936966656 in words is "ten billion, nine hundred thirty-six million, nine hundred sixty-six thousand, six hundred fifty-six".