11059042176 has 768 divisors, whose sum is σ = 41916026880. Its totient is φ = 2720563200.

The previous prime is 11059042171. The next prime is 11059042193. The reversal of 11059042176 is 67124095011.

11059042176 is a `hidden beast` number, since 1 + 10 + 590 + 42 + 17 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11059042176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11059042171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133241431 + ... + 133241513.

It is an arithmetic number, because the mean of its divisors is an integer number (54578160).

Almost surely, 2^11059042176 is an apocalyptic number.

11059042176 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 11059042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958013440).

11059042176 is an abundant number, since it is smaller than the sum of its proper divisors (30856984704).

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

11059042176 is a wasteful number, since it uses less digits than its factorization.

11059042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11059042176 in words is "eleven billion, fifty-nine million, forty-two thousand, one hundred seventy-six".