8025016160 has 144 divisors (see below), whose sum is σ = 22108781520. Its totient is φ = 2744663040.

The previous prime is 8025016133. The next prime is 8025016171. The reversal of 8025016160 is 616105208.

It is a happy number.

It is a super-2 number, since 2×8025016160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3989555 + ... + 3991565.

It is an arithmetic number, because the mean of its divisors is an integer number (153533205).

Almost surely, 2^8025016160 is an apocalyptic number.

8025016160 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 8025016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054390760).

8025016160 is an abundant number, since it is smaller than the sum of its proper divisors (14083765360).

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

8025016160 is a wasteful number, since it uses less digits than its factorization.

8025016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 8025016160 is about 89582.4545321236. The cubic root of 8025016160 is about 2002.0825108217.

The spelling of 8025016160 in words is "eight billion, twenty-five million, sixteen thousand, one hundred sixty".