9852045880380 has 144 divisors (see below), whose sum is σ = 30353542853760. Its totient is φ = 2385851050880.

The previous prime is 9852045880351. The next prime is 9852045880381. The reversal of 9852045880380 is 830885402589.

It is a super-4 number, since 4×9852045880380⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9852045880381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6158731 + ... + 7591709.

It is an arithmetic number, because the mean of its divisors is an integer number (210788492040).

Almost surely, 2^{9852045880380} 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 9852045880380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176771426880).

9852045880380 is an abundant number, since it is smaller than the sum of its proper divisors (20501496973380).

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

9852045880380 is a wasteful number, since it uses less digits than its factorization.

9852045880380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433960 (or 1433947 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 9852045880380 in words is "nine trillion, eight hundred fifty-two billion, forty-five million, eight hundred eighty thousand, three hundred eighty".