8253504000 has 960 divisors, whose sum is σ = 35849848320. Its totient is φ = 1784217600.

The previous prime is 8253503987. The next prime is 8253504001. The reversal of 8253504000 is 4053528.

8253504000 is a `hidden beast` number, since 8 + 253 + 5 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (8253504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92735956 + ... + 92736044.

It is an arithmetic number, because the mean of its divisors is an integer number (37343592).

Almost surely, 2^8253504000 is an apocalyptic number.

8253504000 is a gapful number since it is divisible by the number (80) 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 8253504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17924924160).

8253504000 is an abundant number, since it is smaller than the sum of its proper divisors (27596344320).

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

8253504000 is a wasteful number, since it uses less digits than its factorization.

8253504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 8253504000 is about 90848.7974603957. The cubic root of 8253504000 is about 2020.9060406287.

Adding to 8253504000 its reverse (4053528), we get a palindrome (8257557528).

The spelling of 8253504000 in words is "eight billion, two hundred fifty-three million, five hundred four thousand".