9998581775040 has 896 divisors, whose sum is σ = 38031843306240. Its totient is φ = 2463635865600.

The previous prime is 9998581774999. The next prime is 9998581775041. The reversal of 9998581775040 is 405771858999.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9998581775040.

It is not an unprimeable number, because it can be changed into a prime (9998581775041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 9147832734 + ... + 9147833826.

It is an arithmetic number, because the mean of its divisors is an integer number (42446253690).

Almost surely, 2^{9998581775040} is an apocalyptic number.

9998581775040 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 9998581775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015921653120).

9998581775040 is an abundant number, since it is smaller than the sum of its proper divisors (28033261531200).

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

9998581775040 is a wasteful number, since it uses less digits than its factorization.

9998581775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 9998581775040 in words is "nine trillion, nine hundred ninety-eight billion, five hundred eighty-one million, seven hundred seventy-five thousand, forty".