11023138159104 has 160 divisors (see below), whose sum is σ = 31125464092800. Its totient is φ = 3454713331712.

The previous prime is 11023138159031. The next prime is 11023138159127. The reversal of 11023138159104 is 40195183132011.

It is a super-5 number, since 5×11023138159104⁵ (a number of 66 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25453372 + ... + 25882820.

It is an arithmetic number, because the mean of its divisors is an integer number (194534150580).

Almost surely, 2^{11023138159104} 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 11023138159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562732046400).

11023138159104 is an abundant number, since it is smaller than the sum of its proper divisors (20102325933696).

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

11023138159104 is an equidigital number, since it uses as much as digits as its factorization.

11023138159104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430470 (or 430454 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11023138159104 in words is "eleven trillion, twenty-three billion, one hundred thirty-eight million, one hundred fifty-nine thousand, one hundred four".