9825045120 has 768 divisors, whose sum is σ = 39591014400. Its totient is φ = 2299207680.

The previous prime is 9825045119. The next prime is 9825045137. The reversal of 9825045120 is 215405289.

9825045120 is a `hidden beast` number, since 9 + 82 + 504 + 51 + 20 = 666.

It is a super-2 number, since 2×9825045120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77362497 + ... + 77362623.

It is an arithmetic number, because the mean of its divisors is an integer number (51550800).

Almost surely, 2^9825045120 is an apocalyptic number.

9825045120 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 9825045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19795507200).

9825045120 is an abundant number, since it is smaller than the sum of its proper divisors (29765969280).

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

9825045120 is a wasteful number, since it uses less digits than its factorization.

9825045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9825045120 is about 99121.3656080262. The cubic root of 9825045120 is about 2141.7964011774.

The spelling of 9825045120 in words is "nine billion, eight hundred twenty-five million, forty-five thousand, one hundred twenty".