8259256320 has 240 divisors, whose sum is σ = 30210649728. Its totient is φ = 1887436800.

The previous prime is 8259256309. The next prime is 8259256333. The reversal of 8259256320 is 236529528.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717920 + ... + 1722720.

Almost surely, 2^8259256320 is an apocalyptic number.

8259256320 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 8259256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105324864).

8259256320 is an abundant number, since it is smaller than the sum of its proper divisors (21951393408).

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

8259256320 is an equidigital number, since it uses as much as digits as its factorization.

8259256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 8259256320 is about 90880.4507031078. The cubic root of 8259256320 is about 2021.3754250503.

The spelling of 8259256320 in words is "eight billion, two hundred fifty-nine million, two hundred fifty-six thousand, three hundred twenty".