855825112800 has 1152 divisors, whose sum is σ = 3649566412800. Its totient is φ = 189493032960.

The previous prime is 855825112787. The next prime is 855825112811. The reversal of 855825112800 is 8211528558.

855825112800 is a `hidden beast` number, since 8 + 5 + 58 + 2 + 511 + 2 + 80 + 0 = 666.

855825112800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 903721927 + ... + 903722873.

It is an arithmetic number, because the mean of its divisors is an integer number (3168026400).

Almost surely, 2^855825112800 is an apocalyptic number.

855825112800 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 855825112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824783206400).

855825112800 is an abundant number, since it is smaller than the sum of its proper divisors (2793741300000).

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

855825112800 is a wasteful number, since it uses less digits than its factorization.

855825112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 855825112800 in words is "eight hundred fifty-five billion, eight hundred twenty-five million, one hundred twelve thousand, eight hundred".