11001561161600 has 96 divisors (see below), whose sum is σ = 27183260316240. Its totient is φ = 4399658393600.

The previous prime is 11001561161597. The next prime is 11001561161621. The reversal of 11001561161600 is 616116510011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14290520 + ... + 15040680.

Almost surely, 2^{11001561161600} is an apocalyptic number.

11001561161600 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 11001561161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591630158120).

11001561161600 is an abundant number, since it is smaller than the sum of its proper divisors (16181699154640).

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

11001561161600 is an equidigital number, since it uses as much as digits as its factorization.

11001561161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754768 (or 754751 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

Adding to 11001561161600 its reverse (616116510011), we get a palindrome (11617677671611).

The spelling of 11001561161600 in words is "eleven trillion, one billion, five hundred sixty-one million, one hundred sixty-one thousand, six hundred".