9987190287840 has 288 divisors, whose sum is σ = 35185445148672. Its totient is φ = 2576990592000.

The previous prime is 9987190287799. The next prime is 9987190287859. The reversal of 9987190287840 is 487820917899.

9987190287840 is a `hidden beast` number, since 9 + 9 + 87 + 190 + 287 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 570981495 + ... + 570998985.

It is an arithmetic number, because the mean of its divisors is an integer number (122171684544).

Almost surely, 2^{9987190287840} is an apocalyptic number.

9987190287840 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 9987190287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592722574336).

9987190287840 is an abundant number, since it is smaller than the sum of its proper divisors (25198254860832).

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

9987190287840 is a wasteful number, since it uses less digits than its factorization.

9987190287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30334 (or 30323 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 9987190287840 in words is "nine trillion, nine hundred eighty-seven billion, one hundred ninety million, two hundred eighty-seven thousand, eight hundred forty".