9907448890500 has 1152 divisors, whose sum is σ = 39072580485120. Its totient is φ = 2158500960000.

The previous prime is 9907448890487. The next prime is 9907448890517. The reversal of 9907448890500 is 50988447099.

9907448890500 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 4 + 48 + 89 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1373931895 + ... + 1373939105.

It is an arithmetic number, because the mean of its divisors is an integer number (33917170560).

Almost surely, 2^{9907448890500} is an apocalyptic number.

9907448890500 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 9907448890500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536290242560).

9907448890500 is an abundant number, since it is smaller than the sum of its proper divisors (29165131594620).

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

9907448890500 is a wasteful number, since it uses less digits than its factorization.

9907448890500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9907448890500 in words is "nine trillion, nine hundred seven billion, four hundred forty-eight million, eight hundred ninety thousand, five hundred".