88680586917888 has 768 divisors, whose sum is σ = 305818426368000. Its totient is φ = 24866743910400.

The previous prime is 88680586917779. The next prime is 88680586917913. The reversal of 88680586917888 is 88871968508688.

88680586917888 is a `hidden beast` number, since 8 + 8 + 6 + 8 + 0 + 586 + 9 + 17 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×88680586917888² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88680586917798 and 88680586917807.

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 63 ways as a sum of consecutive naturals, for example, 11309852848 + ... + 11309860688.

It is an arithmetic number, because the mean of its divisors is an integer number (398201076000).

Almost surely, 2^{88680586917888} 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 88680586917888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152909213184000).

88680586917888 is an abundant number, since it is smaller than the sum of its proper divisors (217137839450112).

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

88680586917888 is a wasteful number, since it uses less digits than its factorization.

88680586917888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 23781703680, while the sum is 90.

The spelling of 88680586917888 in words is "eighty-eight trillion, six hundred eighty billion, five hundred eighty-six million, nine hundred seventeen thousand, eight hundred eighty-eight".