987981319332 has 288 divisors, whose sum is σ = 3185558288640. Its totient is φ = 263093806080.

The previous prime is 987981319307. The next prime is 987981319363. The reversal of 987981319332 is 233913189789.

987981319332 is a `hidden beast` number, since 9 + 87 + 98 + 131 + 9 + 332 = 666.

It is a super-2 number, since 2×987981319332² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 987981319332.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9212982 + ... + 9319602.

It is an arithmetic number, because the mean of its divisors is an integer number (11060966280).

Almost surely, 2^987981319332 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 987981319332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592779144320).

987981319332 is an abundant number, since it is smaller than the sum of its proper divisors (2197576969308).

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

987981319332 is a wasteful number, since it uses less digits than its factorization.

987981319332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106768 (or 106753 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 987981319332 in words is "nine hundred eighty-seven billion, nine hundred eighty-one million, three hundred nineteen thousand, three hundred thirty-two".