255846906000 has 960 divisors, whose sum is σ = 1116487397376. Its totient is φ = 53250048000.

The previous prime is 255846905981. The next prime is 255846906013. The reversal of 255846906000 is 609648552.

255846906000 is a `hidden beast` number, since 2 + 5 + 584 + 6 + 9 + 0 + 60 + 0 + 0 = 666.

255846906000 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 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 191 ways as a sum of consecutive naturals, for example, 66400074 + ... + 66403926.

Almost surely, 2^255846906000 is an apocalyptic number.

255846906000 is a gapful number since it is divisible by the number (20) 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 255846906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558243698688).

255846906000 is an abundant number, since it is smaller than the sum of its proper divisors (860640491376).

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

255846906000 is a wasteful number, since it uses less digits than its factorization.

255846906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 255846906000 in words is "two hundred fifty-five billion, eight hundred forty-six million, nine hundred six thousand".