6856116000 has 192 divisors, whose sum is σ = 23438128896. Its totient is φ = 1748736000.

The previous prime is 6856115989. The next prime is 6856116011. The reversal of 6856116000 is 6116586.

It is an interprime number because it is at equal distance from previous prime (6856115989) and next prime (6856116011).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 263580 + ... + 288420.

It is an arithmetic number, because the mean of its divisors is an integer number (122073588).

Almost surely, 2^6856116000 is an apocalyptic number.

6856116000 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 6856116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719064448).

6856116000 is an abundant number, since it is smaller than the sum of its proper divisors (16582012896).

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

6856116000 is a wasteful number, since it uses less digits than its factorization.

6856116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24892 (or 24874 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 6856116000 is about 82801.6666498930. Note that the first 4 decimals coincide. The cubic root of 6856116000 is about 1899.7336653457.

The spelling of 6856116000 in words is "six billion, eight hundred fifty-six million, one hundred sixteen thousand".