987980320339992 has 576 divisors, whose sum is σ = 3239508151152000. Its totient is φ = 281268800676864.

The previous prime is 987980320339967. The next prime is 987980320340009. The reversal of 987980320339992 is 299933023089789.

It is a happy number.

987980320339992 is a `hidden beast` number, since 9 + 8 + 7 + 98 + 0 + 320 + 33 + 99 + 92 = 666.

It is a super-2 number, since 2×987980320339992² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34284620368 + ... + 34284649184.

It is an arithmetic number, because the mean of its divisors is an integer number (5624146095750).

Almost surely, 2^{987980320339992} 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 987980320339992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619754075576000).

987980320339992 is an abundant number, since it is smaller than the sum of its proper divisors (2251527830812008).

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

987980320339992 is a wasteful number, since it uses less digits than its factorization.

987980320339992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30130 (or 30107 counting only the distinct ones).

The product of its (nonzero) digits is 2857026816, while the sum is 81.

The spelling of 987980320339992 in words is "nine hundred eighty-seven trillion, nine hundred eighty billion, three hundred twenty million, three hundred thirty-nine thousand, nine hundred ninety-two".