6856535286000 has 240 divisors, whose sum is σ = 23964393903840. Its totient is φ = 1827126604800.

The previous prime is 6856535285981. The next prime is 6856535286049. The reversal of 6856535286000 is 6825356586.

6856535286000 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 5 + 3 + 5 + 28 + 600 + 0 = 666.

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

It is a super-2 number, since 2×6856535286000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25661091 + ... + 25926909.

It is an arithmetic number, because the mean of its divisors is an integer number (99851641266).

Almost surely, 2^{6856535286000} is an apocalyptic number.

6856535286000 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 6856535286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11982196951920).

6856535286000 is an abundant number, since it is smaller than the sum of its proper divisors (17107858617840).

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

6856535286000 is a wasteful number, since it uses less digits than its factorization.

6856535286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267281 (or 267262 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 6856535286000 in words is "six trillion, eight hundred fifty-six billion, five hundred thirty-five million, two hundred eighty-six thousand".