987333984000 has 1728 divisors, whose sum is σ = 4427704689408. Its totient is φ = 205701120000.

The previous prime is 987333983989. The next prime is 987333984001. The reversal of 987333984000 is 489333789.

987333984000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×987333984000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987333984001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2647007814 + ... + 2647008186.

Almost surely, 2^987333984000 is an apocalyptic number.

987333984000 is a gapful number since it is divisible by the number (90) 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 987333984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213852344704).

987333984000 is an abundant number, since it is smaller than the sum of its proper divisors (3440370705408).

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

987333984000 is a wasteful number, since it uses less digits than its factorization.

987333984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 987333984000 in words is "nine hundred eighty-seven billion, three hundred thirty-three million, nine hundred eighty-four thousand".