8235263520 has 480 divisors, whose sum is σ = 32259560256. Its totient is φ = 1961625600.

The previous prime is 8235263503. The next prime is 8235263521. The reversal of 8235263520 is 253625328.

8235263520 is a `hidden beast` number, since 8 + 23 + 52 + 63 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (8235263521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8695687 + ... + 8696633.

Almost surely, 2^8235263520 is an apocalyptic number.

8235263520 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 8235263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129780128).

8235263520 is an abundant number, since it is smaller than the sum of its proper divisors (24024296736).

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

8235263520 is a wasteful number, since it uses less digits than its factorization.

8235263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1029 counting only the distinct ones).

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

The square root of 8235263520 is about 90748.3527123220. The cubic root of 8235263520 is about 2019.4161891594.

Adding to 8235263520 its reverse (253625328), we get a palindrome (8488888848).

The spelling of 8235263520 in words is "eight billion, two hundred thirty-five million, two hundred sixty-three thousand, five hundred twenty".