987382105984 has 64 divisors (see below), whose sum is σ = 2083710439440. Its totient is φ = 464438173696.

The previous prime is 987382105939. The next prime is 987382105991. The reversal of 987382105984 is 489501283789.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4712967 + ... + 4918009.

Almost surely, 2^987382105984 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 987382105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041855219720).

987382105984 is an abundant number, since it is smaller than the sum of its proper divisors (1096328333456).

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

987382105984 is a wasteful number, since it uses less digits than its factorization.

987382105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207287 (or 207275 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 987382105984 in words is "nine hundred eighty-seven billion, three hundred eighty-two million, one hundred five thousand, nine hundred eighty-four".