8157870560 has 192 divisors, whose sum is σ = 22666355712. Its totient is φ = 2716471296.

The previous prime is 8157870557. The next prime is 8157870569. The reversal of 8157870560 is 650787518.

It is a happy number.

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 (8157870569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11220917 + ... + 11221643.

It is an arithmetic number, because the mean of its divisors is an integer number (118053936).

Almost surely, 2^8157870560 is an apocalyptic number.

8157870560 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 8157870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333177856).

8157870560 is an abundant number, since it is smaller than the sum of its proper divisors (14508485152).

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

8157870560 is a wasteful number, since it uses less digits than its factorization.

8157870560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 47.

The square root of 8157870560 is about 90320.9309075145. The cubic root of 8157870560 is about 2013.0702778498.

The spelling of 8157870560 in words is "eight billion, one hundred fifty-seven million, eight hundred seventy thousand, five hundred sixty".