8259068160 has 864 divisors, whose sum is σ = 35110752768. Its totient is φ = 1751777280.

The previous prime is 8259068131. The next prime is 8259068173. The reversal of 8259068160 is 618609528.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113137884 + ... + 113137956.

Almost surely, 2^8259068160 is an apocalyptic number.

8259068160 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 8259068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555376384).

8259068160 is an abundant number, since it is smaller than the sum of its proper divisors (26851684608).

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

8259068160 is a wasteful number, since it uses less digits than its factorization.

8259068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8259068160 is about 90879.4154910781. The cubic root of 8259068160 is about 2021.3600748027.

The spelling of 8259068160 in words is "eight billion, two hundred fifty-nine million, sixty-eight thousand, one hundred sixty".