88288256688 has 480 divisors, whose sum is σ = 270873662976. Its totient is φ = 24639234048.

The previous prime is 88288256681. The next prime is 88288256689. The reversal of 88288256688 is 88665288288.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (88288256681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562345506 + ... + 562345662.

Almost surely, 2^88288256688 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 88288256688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135436831488).

88288256688 is an abundant number, since it is smaller than the sum of its proper divisors (182585406288).

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

88288256688 is a wasteful number, since it uses less digits than its factorization.

88288256688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its digits is 188743680, while the sum is 69.

The spelling of 88288256688 in words is "eighty-eight billion, two hundred eighty-eight million, two hundred fifty-six thousand, six hundred eighty-eight".