8059484160 has 864 divisors, whose sum is σ = 35523502560. Its totient is φ = 1645608960.

The previous prime is 8059484159. The next prime is 8059484161. The reversal of 8059484160 is 614849508.

8059484160 is a `hidden beast` number, since 8 + 0 + 5 + 9 + 484 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (8059484159) and next prime (8059484161).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8059484161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259983345 + ... + 259983375.

It is an arithmetic number, because the mean of its divisors is an integer number (41115165).

Almost surely, 2^8059484160 is an apocalyptic number.

8059484160 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 8059484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761751280).

8059484160 is an abundant number, since it is smaller than the sum of its proper divisors (27464018400).

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

8059484160 is a wasteful number, since it uses less digits than its factorization.

8059484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8059484160 is about 89774.6298237982. The cubic root of 8059484160 is about 2004.9447778440.

The spelling of 8059484160 in words is "eight billion, fifty-nine million, four hundred eighty-four thousand, one hundred sixty".