8253430560 has 72 divisors (see below), whose sum is σ = 28164836700. Its totient is φ = 2200914432.

The previous prime is 8253430553. The next prime is 8253430579. The reversal of 8253430560 is 650343528.

It is a happy number.

8253430560 is a `hidden beast` number, since 8 + 2 + 53 + 43 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8063321616 + 190108944 = 89796^2 + 13788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2864335 + ... + 2867214.

Almost surely, 2^8253430560 is an apocalyptic number.

8253430560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8253430560 is an abundant number, since it is smaller than the sum of its proper divisors (19911406140).

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

8253430560 is a wasteful number, since it uses less digits than its factorization.

8253430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731570 (or 5731559 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 8253430560 is about 90848.3932714278. The cubic root of 8253430560 is about 2020.9000465774.

The spelling of 8253430560 in words is "eight billion, two hundred fifty-three million, four hundred thirty thousand, five hundred sixty".