11055406176 has 120 divisors (see below), whose sum is σ = 33205788000. Its totient is φ = 3606688512.

The previous prime is 11055406127. The next prime is 11055406199. The reversal of 11055406176 is 67160455011.

It is a happy number.

11055406176 is a `hidden beast` number, since 1 + 105 + 540 + 6 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11055406176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76450 + ... + 167198.

It is an arithmetic number, because the mean of its divisors is an integer number (276714900).

Almost surely, 2^11055406176 is an apocalyptic number.

11055406176 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 11055406176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602894000).

11055406176 is an abundant number, since it is smaller than the sum of its proper divisors (22150381824).

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

11055406176 is an equidigital number, since it uses as much as digits as its factorization.

11055406176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90818 (or 90801 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11055406176 in words is "eleven billion, fifty-five million, four hundred six thousand, one hundred seventy-six".