11155116566106 has 48 divisors (see below), whose sum is σ = 25591587676200. Its totient is φ = 3499584528384.

The previous prime is 11155116566101. The next prime is 11155116566107. The reversal of 11155116566106 is 60166561155111.

11155116566106 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 511 + 65 + 66 + 10 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9707929220025 + 1447187346081 = 3115755^2 + 1202991^2 .

It is not an unprimeable number, because it can be changed into a prime (11155116566101) 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 23 ways as a sum of consecutive naturals, for example, 19693050 + ... + 20251578.

Almost surely, 2^{11155116566106} is an apocalyptic number.

11155116566106 is an abundant number, since it is smaller than the sum of its proper divisors (14436471110094).

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

11155116566106 is a wasteful number, since it uses less digits than its factorization.

11155116566106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623823 (or 623820 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 11155116566106 in words is "eleven trillion, one hundred fifty-five billion, one hundred sixteen million, five hundred sixty-six thousand, one hundred six".