88616577561688 has 32 divisors (see below), whose sum is σ = 183814155774720. Its totient is φ = 39712934884000.

The previous prime is 88616577561613. The next prime is 88616577561719.

88616577561688 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7091589268 + ... + 7091601763.

It is an arithmetic number, because the mean of its divisors is an integer number (5744192367960).

Almost surely, 2^{88616577561688} is an apocalyptic number.

88616577561688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88616577561688 is an abundant number, since it is smaller than the sum of its proper divisors (95197578213032).

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

88616577561688 is a wasteful number, since it uses less digits than its factorization.

88616577561688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14183191119 (or 14183191115 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 82.

The spelling of 88616577561688 in words is "eighty-eight trillion, six hundred sixteen billion, five hundred seventy-seven million, five hundred sixty-one thousand, six hundred eighty-eight".