75557888875557 has 48 divisors (see below), whose sum is σ = 119611390998528. Its totient is φ = 45581223611040.

The previous prime is 75557888875541. The next prime is 75557888875583.

75557888875557 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75557888875557 - 2⁴ = 75557888875541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75557888875957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30656848 + ... + 33029654.

It is an arithmetic number, because the mean of its divisors is an integer number (2491903979136).

Almost surely, 2^{75557888875557} is an apocalyptic number.

It is an amenable number.

75557888875557 is a deficient number, since it is larger than the sum of its proper divisors (44053502122971).

75557888875557 is a wasteful number, since it uses less digits than its factorization.

75557888875557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374310 (or 2374307 counting only the distinct ones).

The product of its digits is 153664000000, while the sum is 90.

The spelling of 75557888875557 in words is "seventy-five trillion, five hundred fifty-seven billion, eight hundred eighty-eight million, eight hundred seventy-five thousand, five hundred fifty-seven".