8145920160 has 288 divisors, whose sum is σ = 33441932160. Its totient is φ = 1763887104.

The previous prime is 8145920149. The next prime is 8145920183. The reversal of 8145920160 is 610295418.

8145920160 is a `hidden beast` number, since 8 + 1 + 4 + 592 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 170254 + ... + 212786.

It is an arithmetic number, because the mean of its divisors is an integer number (116117820).

Almost surely, 2^8145920160 is an apocalyptic number.

8145920160 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 8145920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720966080).

8145920160 is an abundant number, since it is smaller than the sum of its proper divisors (25296012000).

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

8145920160 is a wasteful number, since it uses less digits than its factorization.

8145920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42580 (or 42569 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8145920160 is about 90254.7514538708. The cubic root of 8145920160 is about 2012.0868205694.

The spelling of 8145920160 in words is "eight billion, one hundred forty-five million, nine hundred twenty thousand, one hundred sixty".