11206155177061 has 16 divisors (see below), whose sum is σ = 12093520363120. Its totient is φ = 10322432017920.

The previous prime is 11206155177047. The next prime is 11206155177083. The reversal of 11206155177061 is 16077155160211.

It can be written as a sum of positive squares in 8 ways, for example, as 931213420036 + 10274941757025 = 964994^2 + 3205455^2 .

It is a cyclic number.

It is not a de Polignac number, because 11206155177061 - 2⁷ = 11206155176933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11206155176999 and 11206155177017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206155117061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12973921 + ... + 13810681.

It is an arithmetic number, because the mean of its divisors is an integer number (755845022695).

Almost surely, 2^{11206155177061} is an apocalyptic number.

It is an amenable number.

11206155177061 is a deficient number, since it is larger than the sum of its proper divisors (887365186059).

11206155177061 is a wasteful number, since it uses less digits than its factorization.

11206155177061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838936.

The product of its (nonzero) digits is 88200, while the sum is 43.

The spelling of 11206155177061 in words is "eleven trillion, two hundred six billion, one hundred fifty-five million, one hundred seventy-seven thousand, sixty-one".