6852071160 has 192 divisors, whose sum is σ = 24333734880. Its totient is φ = 1658373120.

The previous prime is 6852071159. The next prime is 6852071183. The reversal of 6852071160 is 611702586.

6852071160 is a `hidden beast` number, since 6 + 8 + 520 + 71 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471934 + ... + 3473906.

Almost surely, 2^6852071160 is an apocalyptic number.

6852071160 is a gapful number since it is divisible by the number (60) 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 6852071160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166867440).

6852071160 is an abundant number, since it is smaller than the sum of its proper divisors (17481663720).

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

6852071160 is a wasteful number, since it uses less digits than its factorization.

6852071160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6852071160 is about 82777.2381757207. The cubic root of 6852071160 is about 1899.3600023601.

The spelling of 6852071160 in words is "six billion, eight hundred fifty-two million, seventy-one thousand, one hundred sixty".