855588096000 has 1920 divisors, whose sum is σ = 3621220162560. Its totient is φ = 200724480000.

The previous prime is 855588095987. The next prime is 855588096007. The reversal of 855588096000 is 690885558.

855588096000 is a `hidden beast` number, since 8 + 5 + 558 + 80 + 9 + 6 + 0 + 0 + 0 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (855588096007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27599615985 + ... + 27599616015.

It is an arithmetic number, because the mean of its divisors is an integer number (1886052168).

Almost surely, 2^855588096000 is an apocalyptic number.

855588096000 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 855588096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810610081280).

855588096000 is an abundant number, since it is smaller than the sum of its proper divisors (2765632066560).

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

855588096000 is an equidigital number, since it uses as much as digits as its factorization.

855588096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 855588096000 in words is "eight hundred fifty-five billion, five hundred eighty-eight million, ninety-six thousand".