88686068688 has 240 divisors, whose sum is σ = 287486813952. Its totient is φ = 24998400000.

The previous prime is 88686068687. The next prime is 88686068699.

88686068688 is a `hidden beast` number, since 8 + 8 + 6 + 8 + 606 + 8 + 6 + 8 + 8 = 666.

88686068688 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×88686068688³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88686068683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31660888 + ... + 31663688.

Almost surely, 2^88686068688 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 88686068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143743406976).

88686068688 is an abundant number, since it is smaller than the sum of its proper divisors (198800745264).

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

88686068688 is a wasteful number, since it uses less digits than its factorization.

88686068688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 88686068688 in words is "eighty-eight billion, six hundred eighty-six million, sixty-eight thousand, six hundred eighty-eight".