887988816000 has 1536 divisors, whose sum is σ = 3878301772800. Its totient is φ = 191729664000.

The previous prime is 887988815999. The next prime is 887988816007. The reversal of 887988816000 is 618889788.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (887988816007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 597167257 + ... + 597168743.

It is an arithmetic number, because the mean of its divisors is an integer number (2524936050).

Almost surely, 2^887988816000 is an apocalyptic number.

887988816000 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 887988816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939150886400).

887988816000 is an abundant number, since it is smaller than the sum of its proper divisors (2990312956800).

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

887988816000 is a wasteful number, since it uses less digits than its factorization.

887988816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 887988816000 in words is "eight hundred eighty-seven billion, nine hundred eighty-eight million, eight hundred sixteen thousand".