888888888900000 has 1080 divisors, whose sum is σ = 3471061382548452. Its totient is φ = 223093094400000.

The previous prime is 888888888899989. The next prime is 888888888900013. The reversal of 888888888900000 is 9888888888.

It can be written as a sum of positive squares in 18 ways, for example, as 268749202919184 + 620139685980816 = 16393572^2 + 24902604^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2340710140 + ... + 2341089860.

Almost surely, 2^{888888888900000} is an apocalyptic number.

888888888900000 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 888888888900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735530691274226).

888888888900000 is an abundant number, since it is smaller than the sum of its proper divisors (2582172493648452).

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

888888888900000 is an equidigital number, since it uses as much as digits as its factorization.

888888888900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379802 (or 379748 counting only the distinct ones).

The product of its (nonzero) digits is 1207959552, while the sum is 81.

The spelling of 888888888900000 in words is "eight hundred eighty-eight trillion, eight hundred eighty-eight billion, eight hundred eighty-eight million, nine hundred thousand".