9852814080 has 252 divisors, whose sum is σ = 35388017280. Its totient is φ = 2627168256.

The previous prime is 9852814079. The next prime is 9852814093. The reversal of 9852814080 is 804182589.

It is a happy number.

9852814080 is a `hidden beast` number, since 9 + 8 + 528 + 1 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 927841 + ... + 938399.

It is an arithmetic number, because the mean of its divisors is an integer number (140428640).

Almost surely, 2^9852814080 is an apocalyptic number.

9852814080 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 9852814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694008640).

9852814080 is an abundant number, since it is smaller than the sum of its proper divisors (25535203200).

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

9852814080 is an equidigital number, since it uses as much as digits as its factorization.

9852814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 9852814080 is about 99261.3423241898. The cubic root of 9852814080 is about 2143.8123211376.

The spelling of 9852814080 in words is "nine billion, eight hundred fifty-two million, eight hundred fourteen thousand, eighty".