9225861120 has 720 divisors, whose sum is σ = 38636718120. Its totient is φ = 2099478528.

The previous prime is 9225861109. The next prime is 9225861133. The reversal of 9225861120 is 211685229.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642447 + ... + 40642673.

Almost surely, 2^9225861120 is an apocalyptic number.

9225861120 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 9225861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19318359060).

9225861120 is an abundant number, since it is smaller than the sum of its proper divisors (29410857000).

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

9225861120 is a wasteful number, since it uses less digits than its factorization.

9225861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9225861120 is about 96051.3462685453. The cubic root of 9225861120 is about 2097.3406336934.

The spelling of 9225861120 in words is "nine billion, two hundred twenty-five million, eight hundred sixty-one thousand, one hundred twenty".