11427586165657 has 8 divisors (see below), whose sum is σ = 12102481865376. Its totient is φ = 10752988771392.

The previous prime is 11427586165627. The next prime is 11427586165687. The reversal of 11427586165657 is 75656168572411.

It is a happy number.

11427586165657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11427586165627) and next prime (11427586165687).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11427586165657 - 2²⁷ = 11427451947929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11427586165627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74497483 + ... + 74650720.

It is an arithmetic number, because the mean of its divisors is an integer number (1512810233172).

Almost surely, 2^{11427586165657} is an apocalyptic number.

11427586165657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11427586165657 is a deficient number, since it is larger than the sum of its proper divisors (674895699719).

11427586165657 is a wasteful number, since it uses less digits than its factorization.

11427586165657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149152727.

The product of its digits is 84672000, while the sum is 64.

The spelling of 11427586165657 in words is "eleven trillion, four hundred twenty-seven billion, five hundred eighty-six million, one hundred sixty-five thousand, six hundred fifty-seven".