9851345280 has 512 divisors, whose sum is σ = 41619916800. Its totient is φ = 2153226240.

The previous prime is 9851345221. The next prime is 9851345341. The reversal of 9851345280 is 825431589.

9851345280 is a `hidden beast` number, since 9 + 8 + 513 + 4 + 52 + 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 63 ways as a sum of consecutive naturals, for example, 2780310 + ... + 2783850.

It is an arithmetic number, because the mean of its divisors is an integer number (81288900).

Almost surely, 2^9851345280 is an apocalyptic number.

9851345280 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 9851345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20809958400).

9851345280 is an abundant number, since it is smaller than the sum of its proper divisors (31768571520).

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

9851345280 is a wasteful number, since it uses less digits than its factorization.

9851345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9851345280 is about 99253.9433977311. The cubic root of 9851345280 is about 2143.7057868353.

The spelling of 9851345280 in words is "nine billion, eight hundred fifty-one million, three hundred forty-five thousand, two hundred eighty".