6856506126 has 48 divisors (see below), whose sum is σ = 15544249344. Its totient is φ = 2180127312.

The previous prime is 6856506121. The next prime is 6856506131. The reversal of 6856506126 is 6216056586.

It is a happy number.

6856506126 is a `hidden beast` number, since 6 + 8 + 565 + 0 + 61 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (6856506121) and next prime (6856506131).

It is a super-3 number, since 3×6856506126³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856506121) 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 23 ways as a sum of consecutive naturals, for example, 129375 + ... + 174501.

It is an arithmetic number, because the mean of its divisors is an integer number (323838528).

Almost surely, 2^6856506126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856506126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772124672).

6856506126 is an abundant number, since it is smaller than the sum of its proper divisors (8687743218).

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

6856506126 is a wasteful number, since it uses less digits than its factorization.

6856506126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45525 (or 45522 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6856506126 is about 82804.0224022964. The cubic root of 6856506126 is about 1899.7696974782.

The spelling of 6856506126 in words is "six billion, eight hundred fifty-six million, five hundred six thousand, one hundred twenty-six".