11557167255257 has 64 divisors (see below), whose sum is σ = 13600517898240. Its totient is φ = 9728436441600.

The previous prime is 11557167255241. The next prime is 11557167255259. The reversal of 11557167255257 is 75255276175511.

It is a happy number.

It is not a de Polignac number, because 11557167255257 - 2⁴ = 11557167255241 is a prime.

It is a super-2 number, since 2×11557167255257² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11557167255196 and 11557167255205.

It is not an unprimeable number, because it can be changed into a prime (11557167255259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661497032 + ... + 661514502.

It is an arithmetic number, because the mean of its divisors is an integer number (212508092160).

Almost surely, 2^{11557167255257} is an apocalyptic number.

It is an amenable number.

11557167255257 is a deficient number, since it is larger than the sum of its proper divisors (2043350642983).

11557167255257 is a wasteful number, since it uses less digits than its factorization.

11557167255257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18414.

The product of its digits is 25725000, while the sum is 59.

The spelling of 11557167255257 in words is "eleven trillion, five hundred fifty-seven billion, one hundred sixty-seven million, two hundred fifty-five thousand, two hundred fifty-seven".