987505959600 has 300 divisors, whose sum is σ = 3546100724760. Its totient is φ = 263184768000.

The previous prime is 987505959599. The next prime is 987505959623. The reversal of 987505959600 is 6959505789.

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64111900 + ... + 64127300.

Almost surely, 2^987505959600 is an apocalyptic number.

987505959600 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 987505959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773050362380).

987505959600 is an abundant number, since it is smaller than the sum of its proper divisors (2558594765160).

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

987505959600 is a wasteful number, since it uses less digits than its factorization.

987505959600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410 (or 17390 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 987505959600 in words is "nine hundred eighty-seven billion, five hundred five million, nine hundred fifty-nine thousand, six hundred".