9904612500 has 144 divisors (see below), whose sum is σ = 32097320640. Its totient is φ = 2641140000.

The previous prime is 9904612463. The next prime is 9904612511. The reversal of 9904612500 is 52164099.

9904612500 is a `hidden beast` number, since 9 + 90 + 4 + 61 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322827 + ... + 352173.

It is an arithmetic number, because the mean of its divisors is an integer number (222898060).

Almost surely, 2^9904612500 is an apocalyptic number.

9904612500 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 9904612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048660320).

9904612500 is an abundant number, since it is smaller than the sum of its proper divisors (22192708140).

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

9904612500 is a wasteful number, since it uses less digits than its factorization.

9904612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29385 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9904612500 is about 99521.9196961152. The cubic root of 9904612500 is about 2147.5625884400.

Adding to 9904612500 its reverse (52164099), we get a palindrome (9956776599).

The spelling of 9904612500 in words is "nine billion, nine hundred four million, six hundred twelve thousand, five hundred".