9904504618800 has 600 divisors, whose sum is σ = 40464001923840. Its totient is φ = 2296694822400.

The previous prime is 9904504618787. The next prime is 9904504618847. The reversal of 9904504618800 is 88164054099.

9904504618800 is a `hidden beast` number, since 9 + 9 + 0 + 450 + 4 + 6 + 188 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7593061 + ... + 8801339.

Almost surely, 2^{9904504618800} is an apocalyptic number.

9904504618800 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 9904504618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232000961920).

9904504618800 is an abundant number, since it is smaller than the sum of its proper divisors (30559497305040).

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

9904504618800 is a wasteful number, since it uses less digits than its factorization.

9904504618800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208343 (or 1208323 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 9904504618800 in words is "nine trillion, nine hundred four billion, five hundred four million, six hundred eighteen thousand, eight hundred".