88556588565588 has 144 divisors (see below), whose sum is σ = 263014069421376. Its totient is φ = 24768451745280.

The previous prime is 88556588565583. The next prime is 88556588565607.

88556588565588 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88556588565498 and 88556588565507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88556588565583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47984895 + ... + 49796217.

It is an arithmetic number, because the mean of its divisors is an integer number (1826486593204).

Almost surely, 2^{88556588565588} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88556588565588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131507034710688).

88556588565588 is an abundant number, since it is smaller than the sum of its proper divisors (174457480855788).

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

88556588565588 is a wasteful number, since it uses less digits than its factorization.

88556588565588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820854 (or 1820849 counting only the distinct ones).

The product of its digits is 147456000000, while the sum is 90.

The spelling of 88556588565588 in words is "eighty-eight trillion, five hundred fifty-six billion, five hundred eighty-eight million, five hundred sixty-five thousand, five hundred eighty-eight".