75255688655257 has 64 divisors (see below), whose sum is σ = 88410712965120. Its totient is φ = 63384693120000.

The previous prime is 75255688655207. The next prime is 75255688655293.

75255688655257 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75255688655257 - 2¹⁹ = 75255688130969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75255688655207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587352433 + ... + 587480545.

It is an arithmetic number, because the mean of its divisors is an integer number (1381417390080).

Almost surely, 2^{75255688655257} is an apocalyptic number.

It is an amenable number.

75255688655257 is a deficient number, since it is larger than the sum of its proper divisors (13155024309863).

75255688655257 is a wasteful number, since it uses less digits than its factorization.

75255688655257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128686.

The product of its digits is 7056000000, while the sum is 76.

The spelling of 75255688655257 in words is "seventy-five trillion, two hundred fifty-five billion, six hundred eighty-eight million, six hundred fifty-five thousand, two hundred fifty-seven".