87564577546578 has 16 divisors (see below), whose sum is σ = 191049987374496. Its totient is φ = 26534720468640.

The previous prime is 87564577546571. The next prime is 87564577546591.

87564577546578 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87564577546578.

It is not an unprimeable number, because it can be changed into a prime (87564577546571) 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 7 ways as a sum of consecutive naturals, for example, 663368011651 + ... + 663368011782.

It is an arithmetic number, because the mean of its divisors is an integer number (11940624210906).

Almost surely, 2^{87564577546578} is an apocalyptic number.

87564577546578 is an abundant number, since it is smaller than the sum of its proper divisors (103485409827918).

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

87564577546578 is a wasteful number, since it uses less digits than its factorization.

87564577546578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326736023449.

The product of its digits is 55319040000, while the sum is 84.

The spelling of 87564577546578 in words is "eighty-seven trillion, five hundred sixty-four billion, five hundred seventy-seven million, five hundred forty-six thousand, five hundred seventy-eight".