5606006111100 has 216 divisors, whose sum is σ = 17614291863168. Its totient is φ = 1491316444800.

The previous prime is 5606006111089. The next prime is 5606006111107. The reversal of 5606006111100 is 11116006065.

5606006111100 is a `hidden beast` number, since 56 + 0 + 600 + 6 + 1 + 1 + 1 + 1 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606006111107) 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, 1072506687 + ... + 1072511913.

Almost surely, 2^{5606006111100} is an apocalyptic number.

5606006111100 is a gapful number since it is divisible by the number (50) 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 5606006111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807145931584).

5606006111100 is an abundant number, since it is smaller than the sum of its proper divisors (12008285752068).

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

5606006111100 is a wasteful number, since it uses less digits than its factorization.

5606006111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7895 counting only the distinct ones).

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

The spelling of 5606006111100 in words is "five trillion, six hundred six billion, six million, one hundred eleven thousand, one hundred".