9925182720 has 360 divisors, whose sum is σ = 36749873160. Its totient is φ = 2554675200.

The previous prime is 9925182689. The next prime is 9925182721. The reversal of 9925182720 is 272815299.

It is a happy number.

9925182720 is a `hidden beast` number, since 9 + 92 + 518 + 27 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 308634624 + 9616548096 = 17568^2 + 98064^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925182721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3005070 + ... + 3008370.

It is an arithmetic number, because the mean of its divisors is an integer number (102082981).

Almost surely, 2^9925182720 is an apocalyptic number.

9925182720 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 9925182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374936580).

9925182720 is an abundant number, since it is smaller than the sum of its proper divisors (26824690440).

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

9925182720 is a wasteful number, since it uses less digits than its factorization.

9925182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9925182720 is about 99625.2112670282. The cubic root of 9925182720 is about 2149.0482695880.

The spelling of 9925182720 in words is "nine billion, nine hundred twenty-five million, one hundred eighty-two thousand, seven hundred twenty".