11557105707201 has 32 divisors (see below), whose sum is σ = 15780281362560. Its totient is φ = 7521790348800.

The previous prime is 11557105707167. The next prime is 11557105707223. The reversal of 11557105707201 is 10270750175511.

It is a happy number.

It is not a de Polignac number, because 11557105707201 - 2¹⁰ = 11557105706177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11557105707001) 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, 10642231 + ... + 11677811.

It is an arithmetic number, because the mean of its divisors is an integer number (493133792580).

Almost surely, 2^{11557105707201} is an apocalyptic number.

It is an amenable number.

11557105707201 is a deficient number, since it is larger than the sum of its proper divisors (4223175655359).

11557105707201 is a wasteful number, since it uses less digits than its factorization.

11557105707201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036177.

The product of its (nonzero) digits is 85750, while the sum is 42.

The spelling of 11557105707201 in words is "eleven trillion, five hundred fifty-seven billion, one hundred five million, seven hundred seven thousand, two hundred one".