11557455850567 has 64 divisors (see below), whose sum is σ = 14030313937920. Its totient is φ = 9400054988800.

The previous prime is 11557455850553. The next prime is 11557455850607. The reversal of 11557455850567 is 76505855475511.

It is a cyclic number.

It is not a de Polignac number, because 11557455850567 - 2¹⁵ = 11557455817799 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11557455850499 and 11557455850508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557455850537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51002838 + ... + 51228940.

It is an arithmetic number, because the mean of its divisors is an integer number (219223655280).

Almost surely, 2^{11557455850567} is an apocalyptic number.

11557455850567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11557455850567 is a deficient number, since it is larger than the sum of its proper divisors (2472858087353).

11557455850567 is a wasteful number, since it uses less digits than its factorization.

11557455850567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226344.

The product of its (nonzero) digits is 147000000, while the sum is 64.

The spelling of 11557455850567 in words is "eleven trillion, five hundred fifty-seven billion, four hundred fifty-five million, eight hundred fifty thousand, five hundred sixty-seven".