9987834802176 has 1560 divisors, whose sum is σ = 39373576604544. Its totient is φ = 2457703710720.

The previous prime is 9987834802147. The next prime is 9987834802247. The reversal of 9987834802176 is 6712084387899.

9987834802176 is a `hidden beast` number, since 9 + 9 + 8 + 78 + 3 + 480 + 2 + 1 + 76 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 525675515895 + ... + 525675515913.

Almost surely, 2^{9987834802176} is an apocalyptic number.

9987834802176 is a gapful number since it is divisible by the number (96) 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 9987834802176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686788302272).

9987834802176 is an abundant number, since it is smaller than the sum of its proper divisors (29385741802368).

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

9987834802176 is an frugal number, since it uses more digits than its factorization.

9987834802176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 9987834802176 in words is "nine trillion, nine hundred eighty-seven billion, eight hundred thirty-four million, eight hundred two thousand, one hundred seventy-six".