11725671657 has 16 divisors (see below), whose sum is σ = 17882605952. Its totient is φ = 6694790400.

The previous prime is 11725671583. The next prime is 11725671679. The reversal of 11725671657 is 75617652711.

It is not a de Polignac number, because 11725671657 - 2¹⁰ = 11725670633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11725671157) 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, 207238 + ... + 257679.

It is an arithmetic number, because the mean of its divisors is an integer number (1117662872).

Almost surely, 2^11725671657 is an apocalyptic number.

It is an amenable number.

11725671657 is a deficient number, since it is larger than the sum of its proper divisors (6156934295).

11725671657 is a wasteful number, since it uses less digits than its factorization.

11725671657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466128.

The product of its digits is 617400, while the sum is 48.

The spelling of 11725671657 in words is "eleven billion, seven hundred twenty-five million, six hundred seventy-one thousand, six hundred fifty-seven".