285166080000 has 390 divisors, whose sum is σ = 1029394374294. Its totient is φ = 76038144000.

The previous prime is 285166079977. The next prime is 285166080131. The reversal of 285166080000 is 80661582.

It is a happy number.

285166080000 is a `hidden beast` number, since 2 + 8 + 516 + 60 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 174069190656 + 111096889344 = 417216^2 + 333312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23033812 + ... + 23046188.

Almost surely, 2^285166080000 is an apocalyptic number.

285166080000 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 285166080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514697187147).

285166080000 is an abundant number, since it is smaller than the sum of its proper divisors (744228294294).

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

285166080000 is an equidigital number, since it uses as much as digits as its factorization.

285166080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 285166080000 in words is "two hundred eighty-five billion, one hundred sixty-six million, eighty thousand".