9829225213500 has 768 divisors, whose sum is σ = 37342288908288. Its totient is φ = 1949695488000.

The previous prime is 9829225213477. The next prime is 9829225213513. The reversal of 9829225213500 is 53125229289.

It is a happy number.

9829225213500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9829225213500² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9829225213500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 226473802 + ... + 226517198.

It is an arithmetic number, because the mean of its divisors is an integer number (48622772016).

Almost surely, 2^{9829225213500} 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 9829225213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671144454144).

9829225213500 is an abundant number, since it is smaller than the sum of its proper divisors (27513063694788).

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

9829225213500 is a wasteful number, since it uses less digits than its factorization.

9829225213500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43527 (or 43515 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 9829225213500 in words is "nine trillion, eight hundred twenty-nine billion, two hundred twenty-five million, two hundred thirteen thousand, five hundred".