10975212288 has 360 divisors, whose sum is σ = 34946881200. Its totient is φ = 3415965696.

The previous prime is 10975212263. The next prime is 10975212299. The reversal of 10975212288 is 88221257901.

10975212288 is a `hidden beast` number, since 10 + 97 + 521 + 2 + 28 + 8 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 35064420 + ... + 35064732.

It is an arithmetic number, because the mean of its divisors is an integer number (97074670).

Almost surely, 2^10975212288 is an apocalyptic number.

10975212288 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 10975212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17473440600).

10975212288 is an abundant number, since it is smaller than the sum of its proper divisors (23971668912).

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

10975212288 is an equidigital number, since it uses as much as digits as its factorization.

10975212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10975212288 in words is "ten billion, nine hundred seventy-five million, two hundred twelve thousand, two hundred eighty-eight".