8071042560 has 160 divisors (see below), whose sum is σ = 29488326912. Its totient is φ = 1844797440.

The previous prime is 8071042559. The next prime is 8071042561. The reversal of 8071042560 is 652401708.

It is an interprime number because it is at equal distance from previous prime (8071042559) and next prime (8071042561).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8071042561) 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 15 ways as a sum of consecutive naturals, for example, 21306 + ... + 128825.

Almost surely, 2^8071042560 is an apocalyptic number.

8071042560 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 8071042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744163456).

8071042560 is an abundant number, since it is smaller than the sum of its proper divisors (21417284352).

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

8071042560 is a wasteful number, since it uses less digits than its factorization.

8071042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150164 (or 150148 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 8071042560 is about 89838.9812943134. The cubic root of 8071042560 is about 2005.9027748190.

The spelling of 8071042560 in words is "eight billion, seventy-one million, forty-two thousand, five hundred sixty".