11657405761 has 16 divisors (see below), whose sum is σ = 12166698240. Its totient is φ = 11155536000.

The previous prime is 11657405741. The next prime is 11657405783. The reversal of 11657405761 is 16750475611.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11657405761 - 2¹³ = 11657397569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11657405741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981770 + ... + 2985676.

It is an arithmetic number, because the mean of its divisors is an integer number (760418640).

Almost surely, 2^11657405761 is an apocalyptic number.

It is an amenable number.

11657405761 is a deficient number, since it is larger than the sum of its proper divisors (509292479).

11657405761 is a wasteful number, since it uses less digits than its factorization.

11657405761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824.

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 11657405761 in words is "eleven billion, six hundred fifty-seven million, four hundred five thousand, seven hundred sixty-one".