987689145984 has 128 divisors (see below), whose sum is σ = 2675152172160. Its totient is φ = 322788864000.

The previous prime is 987689145979. The next prime is 987689146019. The reversal of 987689145984 is 489541986789.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7217074 + ... + 7352654.

It is an arithmetic number, because the mean of its divisors is an integer number (20899626345).

Almost surely, 2^987689145984 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 987689145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337576086080).

987689145984 is an abundant number, since it is smaller than the sum of its proper divisors (1687463026176).

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

987689145984 is a wasteful number, since it uses less digits than its factorization.

987689145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135970 (or 135958 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 78.

The spelling of 987689145984 in words is "nine hundred eighty-seven billion, six hundred eighty-nine million, one hundred forty-five thousand, nine hundred eighty-four".