11000506100560 has 40 divisors (see below), whose sum is σ = 25577899550280. Its totient is φ = 4399906033152.

The previous prime is 11000506100509. The next prime is 11000506100561. The reversal of 11000506100560 is 6500160500011.

It can be written as a sum of positive squares in 4 ways, for example, as 2368574224 + 10998137526336 = 48668^2 + 3316344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11000506100560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000506100561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3434407 + ... + 5813446.

It is an arithmetic number, because the mean of its divisors is an integer number (639447488757).

Almost surely, 2^{11000506100560} is an apocalyptic number.

11000506100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000506100560 is an abundant number, since it is smaller than the sum of its proper divisors (14577393449720).

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

11000506100560 is a wasteful number, since it uses less digits than its factorization.

11000506100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262735 (or 9262729 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 11000506100560 its reverse (6500160500011), we get a palindrome (17500666600571).

The spelling of 11000506100560 in words is "eleven trillion, five hundred six million, one hundred thousand, five hundred sixty".