11271391104 has 128 divisors (see below), whose sum is σ = 31404902400. Its totient is φ = 3577595904.

The previous prime is 11271391081. The next prime is 11271391189. The reversal of 11271391104 is 40119317211.

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

It is a congruent number.

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, 659337 + ... + 676215.

It is an arithmetic number, because the mean of its divisors is an integer number (245350800).

Almost surely, 2^11271391104 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 11271391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702451200).

11271391104 is an abundant number, since it is smaller than the sum of its proper divisors (20133511296).

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

11271391104 is a wasteful number, since it uses less digits than its factorization.

11271391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16980 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 11271391104 in words is "eleven billion, two hundred seventy-one million, three hundred ninety-one thousand, one hundred four".