11057247375888 has 320 divisors, whose sum is σ = 34476436224000. Its totient is φ = 3048829862400.

The previous prime is 11057247375847. The next prime is 11057247375973. The reversal of 11057247375888 is 88857374275011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1361222995 + ... + 1361231117.

It is an arithmetic number, because the mean of its divisors is an integer number (107738863200).

Almost surely, 2^{11057247375888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057247375888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238218112000).

11057247375888 is an abundant number, since it is smaller than the sum of its proper divisors (23419188848112).

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

11057247375888 is a wasteful number, since it uses less digits than its factorization.

11057247375888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 66.

The spelling of 11057247375888 in words is "eleven trillion, fifty-seven billion, two hundred forty-seven million, three hundred seventy-five thousand, eight hundred eighty-eight".