11057075984576 has 112 divisors (see below), whose sum is σ = 23132028294144. Its totient is φ = 5233641025536.

The previous prime is 11057075984543. The next prime is 11057075984597. The reversal of 11057075984576 is 67548957075011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113558825 + ... + 113656151.

It is an arithmetic number, because the mean of its divisors is an integer number (206535966912).

Almost surely, 2^{11057075984576} is an apocalyptic number.

11057075984576 is a gapful number since it is divisible by the number (16) 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 11057075984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566014147072).

11057075984576 is an abundant number, since it is smaller than the sum of its proper divisors (12074952309568).

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

11057075984576 is a wasteful number, since it uses less digits than its factorization.

11057075984576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98158 (or 98148 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 65.

The spelling of 11057075984576 in words is "eleven trillion, fifty-seven billion, seventy-five million, nine hundred eighty-four thousand, five hundred seventy-six".