987169265280 has 1536 divisors, whose sum is σ = 4109267635200. Its totient is φ = 225815040000.

The previous prime is 987169265263. The next prime is 987169265309. The reversal of 987169265280 is 82562961789.

987169265280 is a `hidden beast` number, since 9 + 8 + 7 + 16 + 92 + 6 + 528 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3932945155 + ... + 3932945405.

It is an arithmetic number, because the mean of its divisors is an integer number (2675304450).

Almost surely, 2^987169265280 is an apocalyptic number.

987169265280 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 987169265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054633817600).

987169265280 is an abundant number, since it is smaller than the sum of its proper divisors (3122098369920).

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

987169265280 is a wasteful number, since it uses less digits than its factorization.

987169265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 987169265280 in words is "nine hundred eighty-seven billion, one hundred sixty-nine million, two hundred sixty-five thousand, two hundred eighty".