10889947240128 has 1344 divisors, whose sum is σ = 36932622827520. Its totient is φ = 3181528627200.

The previous prime is 10889947240093. The next prime is 10889947240147. The reversal of 10889947240128 is 82104274998801.

10889947240128 is a `hidden beast` number, since 1 + 0 + 88 + 99 + 47 + 2 + 401 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85747616001 + ... + 85747616127.

It is an arithmetic number, because the mean of its divisors is an integer number (27479630080).

Almost surely, 2^{10889947240128} is an apocalyptic number.

10889947240128 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 10889947240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466311413760).

10889947240128 is an abundant number, since it is smaller than the sum of its proper divisors (26042675587392).

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

10889947240128 is an equidigital number, since it uses as much as digits as its factorization.

10889947240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 10889947240128 in words is "ten trillion, eight hundred eighty-nine billion, nine hundred forty-seven million, two hundred forty thousand, one hundred twenty-eight".