8059161600 has 792 divisors, whose sum is σ = 34845507840. Its totient is φ = 1738506240.

The previous prime is 8059161599. The next prime is 8059161601. The reversal of 8059161600 is 61619508.

8059161600 is a `hidden beast` number, since 8 + 0 + 591 + 6 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8059161599) and next prime (8059161601).

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 (8059161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30643069 + ... + 30643331.

Almost surely, 2^8059161600 is an apocalyptic number.

8059161600 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 8059161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422753920).

8059161600 is an abundant number, since it is smaller than the sum of its proper divisors (26786346240).

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

8059161600 is a wasteful number, since it uses less digits than its factorization.

8059161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8059161600 is about 89772.8333071871. The cubic root of 8059161600 is about 2004.9180299115.

The spelling of 8059161600 in words is "eight billion, fifty-nine million, one hundred sixty-one thousand, six hundred".