9850916275200 has 3168 divisors, whose sum is σ = 47883429764352. Its totient is φ = 1884133785600.

The previous prime is 9850916275169. The next prime is 9850916275223. The reversal of 9850916275200 is 25726190589.

9850916275200 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 9 + 1 + 627 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×9850916275200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27906278224 + ... + 27906278576.

Almost surely, 2^{9850916275200} is an apocalyptic number.

9850916275200 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 9850916275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941714882176).

9850916275200 is an abundant number, since it is smaller than the sum of its proper divisors (38032513489152).

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

9850916275200 is a wasteful number, since it uses less digits than its factorization.

9850916275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 9850916275200 in words is "nine trillion, eight hundred fifty billion, nine hundred sixteen million, two hundred seventy-five thousand, two hundred".