11071368576 has 128 divisors (see below), whose sum is σ = 32800140000. Its totient is φ = 3676428288.

The previous prime is 11071368523. The next prime is 11071368577. The reversal of 11071368576 is 67586317011.

11071368576 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 13 + 68 + 576 = 666.

11071368576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071368577) by changing a digit.

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, 923710 + ... + 935618.

Almost surely, 2^11071368576 is an apocalyptic number.

11071368576 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 11071368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400070000).

11071368576 is an abundant number, since it is smaller than the sum of its proper divisors (21728771424).

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

11071368576 is a wasteful number, since it uses less digits than its factorization.

11071368576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11071368576 in words is "eleven billion, seventy-one million, three hundred sixty-eight thousand, five hundred seventy-six".