855892998144000 has 1440 divisors, whose sum is σ = 3207083261159232. Its totient is φ = 227731046400000.

The previous prime is 855892998143977. The next prime is 855892998144007. The reversal of 855892998144000 is 441899298558.

855892998144000 is a `hidden beast` number, since 8 + 5 + 5 + 8 + 92 + 9 + 98 + 1 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a self number, because there is not a number n which added to its sum of digits gives 855892998144000.

It is not an unprimeable number, because it can be changed into a prime (855892998144007) 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 95 ways as a sum of consecutive naturals, for example, 259282942350 + ... + 259282945650.

Almost surely, 2^{855892998144000} is an apocalyptic number.

855892998144000 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 855892998144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603541630579616).

855892998144000 is an abundant number, since it is smaller than the sum of its proper divisors (2351190263015232).

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

855892998144000 is an frugal number, since it uses more digits than its factorization.

855892998144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 855892998144000 in words is "eight hundred fifty-five trillion, eight hundred ninety-two billion, nine hundred ninety-eight million, one hundred forty-four thousand".