75655566555657 has 32 divisors (see below), whose sum is σ = 111862850974080. Its totient is φ = 45094389120000.

The previous prime is 75655566555623. The next prime is 75655566555661.

75655566555657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75655566555657 - 2²⁴ = 75655549778441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75655566555607) 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, 13266657 + ... + 18091857.

It is an arithmetic number, because the mean of its divisors is an integer number (3495714092940).

Almost surely, 2^{75655566555657} is an apocalyptic number.

It is an amenable number.

75655566555657 is a deficient number, since it is larger than the sum of its proper divisors (36207284418423).

75655566555657 is a wasteful number, since it uses less digits than its factorization.

75655566555657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833065.

The product of its digits is 24806250000, while the sum is 78.

The spelling of 75655566555657 in words is "seventy-five trillion, six hundred fifty-five billion, five hundred sixty-six million, five hundred fifty-five thousand, six hundred fifty-seven".