11575672501677 has 32 divisors (see below), whose sum is σ = 15840054558720. Its totient is φ = 7515844916160.

The previous prime is 11575672501667. The next prime is 11575672501711. The reversal of 11575672501677 is 77610527657511.

It is not a de Polignac number, because 11575672501677 - 2²⁴ = 11575655724461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11575672501677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11575672501667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74788474 + ... + 74943092.

It is an arithmetic number, because the mean of its divisors is an integer number (495001704960).

Almost surely, 2^{11575672501677} is an apocalyptic number.

It is an amenable number.

11575672501677 is a deficient number, since it is larger than the sum of its proper divisors (4264382057043).

11575672501677 is a wasteful number, since it uses less digits than its factorization.

11575672501677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157273.

The product of its (nonzero) digits is 21609000, while the sum is 60.

The spelling of 11575672501677 in words is "eleven trillion, five hundred seventy-five billion, six hundred seventy-two million, five hundred one thousand, six hundred seventy-seven".