6855801120 has 240 divisors, whose sum is σ = 27652097088. Its totient is φ = 1567019520.

The previous prime is 6855801091. The next prime is 6855801223. The reversal of 6855801120 is 211085586.

6855801120 is a `hidden beast` number, since 68 + 5 + 580 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52935 + ... + 128505.

Almost surely, 2^6855801120 is an apocalyptic number.

6855801120 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 6855801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13826048544).

6855801120 is an abundant number, since it is smaller than the sum of its proper divisors (20796295968).

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

6855801120 is a wasteful number, since it uses less digits than its factorization.

6855801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75605 (or 75588 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 6855801120 is about 82799.7652170584. The cubic root of 6855801120 is about 1899.7045819553.

The spelling of 6855801120 in words is "six billion, eight hundred fifty-five million, eight hundred one thousand, one hundred twenty".