88008808088880 has 480 divisors, whose sum is σ = 338762477813760. Its totient is φ = 20058198220800.

The previous prime is 88008808088879. The next prime is 88008808088909. The reversal of 88008808088880 is 8888080880088.

It is a super-3 number, since 3×88008808088880³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 88008808088799 and 88008808088808.

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 95 ways as a sum of consecutive naturals, for example, 6222775089 + ... + 6222789231.

It is an arithmetic number, because the mean of its divisors is an integer number (705755162112).

Almost surely, 2^{88008808088880} is an apocalyptic number.

88008808088880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88008808088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169381238906880).

88008808088880 is an abundant number, since it is smaller than the sum of its proper divisors (250753669724880).

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

88008808088880 is a wasteful number, since it uses less digits than its factorization.

88008808088880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17649 (or 17640 counting only the distinct ones).

The product of its (nonzero) digits is 134217728, while the sum is 72.

The spelling of 88008808088880 in words is "eighty-eight trillion, eight billion, eight hundred eight million, eighty-eight thousand, eight hundred eighty".