85577288277558 has 128 divisors (see below), whose sum is σ = 237831296532480. Its totient is φ = 19819274641920.

The previous prime is 85577288277557. The next prime is 85577288277659.

85577288277558 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85577288277557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286587966 + ... + 286886417.

It is an arithmetic number, because the mean of its divisors is an integer number (1858057004160).

Almost surely, 2^{85577288277558} is an apocalyptic number.

85577288277558 is an abundant number, since it is smaller than the sum of its proper divisors (152254008254922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85577288277558 is a wasteful number, since it uses less digits than its factorization.

85577288277558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573474442.

The product of its digits is 24586240000, while the sum is 84.

The spelling of 85577288277558 in words is "eighty-five trillion, five hundred seventy-seven billion, two hundred eighty-eight million, two hundred seventy-seven thousand, five hundred fifty-eight".