10953226368 has 288 divisors, whose sum is σ = 37277798220. Its totient is φ = 3077222400.

The previous prime is 10953226363. The next prime is 10953226387. The reversal of 10953226368 is 86362235901.

10953226368 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 3 + 2 + 2 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7898232384 + 3054993984 = 88872^2 + 55272^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10953226363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3441738 + ... + 3444918.

Almost surely, 2^10953226368 is an apocalyptic number.

10953226368 is a gapful number since it is divisible by the number (18) 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 10953226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638899110).

10953226368 is an abundant number, since it is smaller than the sum of its proper divisors (26324571852).

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

10953226368 is a wasteful number, since it uses less digits than its factorization.

10953226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10953226368 in words is "ten billion, nine hundred fifty-three million, two hundred twenty-six thousand, three hundred sixty-eight".