11755895617009 has 16 divisors (see below), whose sum is σ = 11992002931584. Its totient is φ = 11522219472000.

The previous prime is 11755895617007. The next prime is 11755895617043. The reversal of 11755895617009 is 90071659855711.

It is a cyclic number.

It is not a de Polignac number, because 11755895617009 - 2¹ = 11755895617007 is a prime.

It is a super-2 number, since 2×11755895617009² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11755895617007) 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, 28015074 + ... + 28431604.

It is an arithmetic number, because the mean of its divisors is an integer number (749500183224).

Almost surely, 2^{11755895617009} is an apocalyptic number.

It is an amenable number.

11755895617009 is a deficient number, since it is larger than the sum of its proper divisors (236107314575).

11755895617009 is a wasteful number, since it uses less digits than its factorization.

11755895617009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419448.

The product of its (nonzero) digits is 23814000, while the sum is 64.

The spelling of 11755895617009 in words is "eleven trillion, seven hundred fifty-five billion, eight hundred ninety-five million, six hundred seventeen thousand, nine".