9988032015360 has 1408 divisors, whose sum is σ = 42247375994880. Its totient is φ = 2190252441600.

The previous prime is 9988032015359. The next prime is 9988032015457. The reversal of 9988032015360 is 635102308899.

9988032015360 is a `hidden beast` number, since 9 + 9 + 8 + 80 + 3 + 20 + 1 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9988032015297 and 9988032015306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2420165617 + ... + 2420169743.

Almost surely, 2^{9988032015360} is an apocalyptic number.

9988032015360 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 9988032015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123687997440).

9988032015360 is an abundant number, since it is smaller than the sum of its proper divisors (32259343979520).

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

9988032015360 is a wasteful number, since it uses less digits than its factorization.

9988032015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 9988032015360 in words is "nine trillion, nine hundred eighty-eight billion, thirty-two million, fifteen thousand, three hundred sixty".