8166850560 has 720 divisors, whose sum is σ = 33123504960. Its totient is φ = 1840250880.

The previous prime is 8166850529. The next prime is 8166850561. The reversal of 8166850560 is 650586618.

8166850560 is a `hidden beast` number, since 8 + 1 + 6 + 6 + 85 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8166850561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154091494 + ... + 154091546.

It is an arithmetic number, because the mean of its divisors is an integer number (46004868).

Almost surely, 2^8166850560 is an apocalyptic number.

8166850560 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 8166850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561752480).

8166850560 is an abundant number, since it is smaller than the sum of its proper divisors (24956654400).

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

8166850560 is a wasteful number, since it uses less digits than its factorization.

8166850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8166850560 is about 90370.6288569467. The cubic root of 8166850560 is about 2013.8086544462.

The spelling of 8166850560 in words is "eight billion, one hundred sixty-six million, eight hundred fifty thousand, five hundred sixty".