855195436892160 has 1920 divisors, whose sum is σ = 3818696587776000. Its totient is φ = 180434758533120.

The previous prime is 855195436892149. The next prime is 855195436892171. The reversal of 855195436892160 is 61298634591558.

855195436892160 is a `hidden beast` number, since 8 + 5 + 5 + 1 + 9 + 543 + 68 + 9 + 2 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (855195436892149) and next prime (855195436892171).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9862551205 + ... + 9862637915.

It is an arithmetic number, because the mean of its divisors is an integer number (1988904472800).

Almost surely, 2^{855195436892160} is an apocalyptic number.

855195436892160 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 855195436892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909348293888000).

855195436892160 is an abundant number, since it is smaller than the sum of its proper divisors (2963501150883840).

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

855195436892160 is an equidigital number, since it uses as much as digits as its factorization.

855195436892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86787 (or 86741 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 855195436892160 in words is "eight hundred fifty-five trillion, one hundred ninety-five billion, four hundred thirty-six million, eight hundred ninety-two thousand, one hundred sixty".