11079563106128 has 80 divisors (see below), whose sum is σ = 24228662599680. Its totient is φ = 4862605219200.

The previous prime is 11079563106121. The next prime is 11079563106149. The reversal of 11079563106128 is 82160136597011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079563106121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82301 + ... + 4708067.

It is an arithmetic number, because the mean of its divisors is an integer number (302858282496).

Almost surely, 2^{11079563106128} 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 11079563106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114331299840).

11079563106128 is an abundant number, since it is smaller than the sum of its proper divisors (13149099493552).

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

11079563106128 is a wasteful number, since it uses less digits than its factorization.

11079563106128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626256 (or 4626250 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 11079563106128 in words is "eleven trillion, seventy-nine billion, five hundred sixty-three million, one hundred six thousand, one hundred twenty-eight".