9913415500800 has 792 divisors, whose sum is σ = 41874163548672. Its totient is φ = 2192818176000.

The previous prime is 9913415500771. The next prime is 9913415500847. The reversal of 9913415500800 is 80055143199.

9913415500800 is a `hidden beast` number, since 9 + 9 + 13 + 4 + 1 + 550 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×9913415500800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49897660 + ... + 50095940.

Almost surely, 2^{9913415500800} is an apocalyptic number.

9913415500800 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 9913415500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20937081774336).

9913415500800 is an abundant number, since it is smaller than the sum of its proper divisors (31960748047872).

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

9913415500800 is a wasteful number, since it uses less digits than its factorization.

9913415500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198355 (or 198329 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 9913415500800 in words is "nine trillion, nine hundred thirteen billion, four hundred fifteen million, five hundred thousand, eight hundred".