9987535514385 has 256 divisors, whose sum is σ = 22228777267200. Its totient is φ = 4234673053440.

The previous prime is 9987535514381. The next prime is 9987535514413. The reversal of 9987535514385 is 5834155357899.

9987535514385 is a `hidden beast` number, since 9 + 9 + 8 + 7 + 535 + 5 + 1 + 4 + 3 + 85 = 666.

It is not a de Polignac number, because 9987535514385 - 2² = 9987535514381 is a prime.

It is a super-2 number, since 2×9987535514385² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9987535514381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29542314 + ... + 29878476.

It is an arithmetic number, because the mean of its divisors is an integer number (86831161200).

Almost surely, 2^{9987535514385} is an apocalyptic number.

9987535514385 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9987535514385 is an abundant number, since it is smaller than the sum of its proper divisors (12241241752815).

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

9987535514385 is a wasteful number, since it uses less digits than its factorization.

9987535514385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336232 (or 336214 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 72.

The spelling of 9987535514385 in words is "nine trillion, nine hundred eighty-seven billion, five hundred thirty-five million, five hundred fourteen thousand, three hundred eighty-five".