9905822263296 has 288 divisors, whose sum is σ = 30393164692800. Its totient is φ = 3221398978560.

The previous prime is 9905822263241. The next prime is 9905822263307. The reversal of 9905822263296 is 6923622285099.

9905822263296 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 82 + 2 + 263 + 296 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20161485 + ... + 20646963.

It is an arithmetic number, because the mean of its divisors is an integer number (105531821850).

Almost surely, 2^{9905822263296} is an apocalyptic number.

9905822263296 is a gapful number since it is divisible by the number (96) 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 9905822263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196582346400).

9905822263296 is an abundant number, since it is smaller than the sum of its proper divisors (20487342429504).

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

9905822263296 is an equidigital number, since it uses as much as digits as its factorization.

9905822263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485557 (or 485525 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 9905822263296 in words is "nine trillion, nine hundred five billion, eight hundred twenty-two million, two hundred sixty-three thousand, two hundred ninety-six".