855460092764160 has 2688 divisors, whose sum is σ = 3564261699747840. Its totient is φ = 187816004812800.

The previous prime is 855460092764119. The next prime is 855460092764171. The reversal of 855460092764160 is 61467290064558.

855460092764160 is a `hidden beast` number, since 8 + 5 + 5 + 4 + 60 + 0 + 92 + 76 + 416 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104439025665 + ... + 104439033855.

It is an arithmetic number, because the mean of its divisors is an integer number (1325990215680).

Almost surely, 2^{855460092764160} is an apocalyptic number.

855460092764160 is a gapful number since it is divisible by the number (80) 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 855460092764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782130849873920).

855460092764160 is an abundant number, since it is smaller than the sum of its proper divisors (2708801606983680).

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

855460092764160 is a wasteful number, since it uses less digits than its factorization.

855460092764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 855460092764160 in words is "eight hundred fifty-five trillion, four hundred sixty billion, ninety-two million, seven hundred sixty-four thousand, one hundred sixty".