855395596800 has 480 divisors, whose sum is σ = 3164602214400. Its totient is φ = 226297774080.

The previous prime is 855395596789. The next prime is 855395596813. The reversal of 855395596800 is 8695593558.

855395596800 is a `hidden beast` number, since 8 + 5 + 5 + 39 + 5 + 596 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 43881456 + ... + 43900944.

It is an arithmetic number, because the mean of its divisors is an integer number (6592921280).

Almost surely, 2^855395596800 is an apocalyptic number.

855395596800 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 855395596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582301107200).

855395596800 is an abundant number, since it is smaller than the sum of its proper divisors (2309206617600).

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

855395596800 is a wasteful number, since it uses less digits than its factorization.

855395596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19626 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 855395596800 in words is "eight hundred fifty-five billion, three hundred ninety-five million, five hundred ninety-six thousand, eight hundred".