11169586416 has 80 divisors (see below), whose sum is σ = 30619825920. Its totient is φ = 3500935680.

The previous prime is 11169586403. The next prime is 11169586423. The reversal of 11169586416 is 61468596111.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20605 + ... + 150876.

It is an arithmetic number, because the mean of its divisors is an integer number (382747824).

Almost surely, 2^11169586416 is an apocalyptic number.

11169586416 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 11169586416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309912960).

11169586416 is an abundant number, since it is smaller than the sum of its proper divisors (19450239504).

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

11169586416 is a wasteful number, since it uses less digits than its factorization.

11169586416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171574 (or 171568 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 11169586416 in words is "eleven billion, one hundred sixty-nine million, five hundred eighty-six thousand, four hundred sixteen".