9850207567200 has 1152 divisors, whose sum is σ = 44437859794944. Its totient is φ = 1828389888000.

The previous prime is 9850207567183. The next prime is 9850207567201. The reversal of 9850207567200 is 27657020589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9850207567201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74408269 + ... + 74540531.

It is an arithmetic number, because the mean of its divisors is an integer number (38574531072).

Almost surely, 2^{9850207567200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9850207567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22218929897472).

9850207567200 is an abundant number, since it is smaller than the sum of its proper divisors (34587652227744).

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

9850207567200 is a wasteful number, since it uses less digits than its factorization.

9850207567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132348 (or 132335 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 9850207567200 in words is "nine trillion, eight hundred fifty billion, two hundred seven million, five hundred sixty-seven thousand, two hundred".