11056161600 has 504 divisors, whose sum is σ = 43198401792. Its totient is φ = 2659737600.

The previous prime is 11056161593. The next prime is 11056161601. The reversal of 11056161600 is 616165011.

11056161600 is a `hidden beast` number, since 1 + 1 + 0 + 56 + 1 + 6 + 1 + 600 = 666.

11056161600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35323044 + ... + 35323356.

Almost surely, 2^11056161600 is an apocalyptic number.

11056161600 is a gapful number since it is divisible by the number (10) 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 11056161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599200896).

11056161600 is an abundant number, since it is smaller than the sum of its proper divisors (32142240192).

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

11056161600 is a wasteful number, since it uses less digits than its factorization.

11056161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11056161600 in words is "eleven billion, fifty-six million, one hundred sixty-one thousand, six hundred".