9253258560 has 560 divisors, whose sum is σ = 40521672576. Its totient is φ = 1951838208.

The previous prime is 9253258513. The next prime is 9253258577. The reversal of 9253258560 is 658523529.

9253258560 is a `hidden beast` number, since 9 + 2 + 5 + 3 + 2 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 2356759 + ... + 2360681.

Almost surely, 2^9253258560 is an apocalyptic number.

9253258560 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 9253258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260836288).

9253258560 is an abundant number, since it is smaller than the sum of its proper divisors (31268414016).

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

9253258560 is a wasteful number, since it uses less digits than its factorization.

9253258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 9253258560 is about 96193.8592634686. The cubic root of 9253258560 is about 2099.4146940232.

The spelling of 9253258560 in words is "nine billion, two hundred fifty-three million, two hundred fifty-eight thousand, five hundred sixty".