6856154894160 has 480 divisors, whose sum is σ = 27062590883328. Its totient is φ = 1533567098880.

The previous prime is 6856154894159. The next prime is 6856154894177. The reversal of 6856154894160 is 614984516586.

6856154894160 is a `hidden beast` number, since 6 + 8 + 5 + 615 + 4 + 8 + 9 + 4 + 1 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254606617 + ... + 254633543.

Almost surely, 2^{6856154894160} is an apocalyptic number.

6856154894160 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 6856154894160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531295441664).

6856154894160 is an abundant number, since it is smaller than the sum of its proper divisors (20206435989168).

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

6856154894160 is a wasteful number, since it uses less digits than its factorization.

6856154894160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29443 (or 29434 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 6856154894160 in words is "six trillion, eight hundred fifty-six billion, one hundred fifty-four million, eight hundred ninety-four thousand, one hundred sixty".