9857987530560 has 2016 divisors, whose sum is σ = 39991264395264. Its totient is φ = 2297714688000.

The previous prime is 9857987530511. The next prime is 9857987530579. The reversal of 9857987530560 is 650357897589.

9857987530560 is a `hidden beast` number, since 9 + 8 + 5 + 7 + 9 + 8 + 7 + 53 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 51612500065 + ... + 51612500255.

It is an arithmetic number, because the mean of its divisors is an integer number (19836936704).

Almost surely, 2^{9857987530560} is an apocalyptic number.

9857987530560 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 9857987530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19995632197632).

9857987530560 is an abundant number, since it is smaller than the sum of its proper divisors (30133276864704).

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

9857987530560 is a wasteful number, since it uses less digits than its factorization.

9857987530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 9857987530560 in words is "nine trillion, eight hundred fifty-seven billion, nine hundred eighty-seven million, five hundred thirty thousand, five hundred sixty".