285220083600 has 945 divisors, whose sum is σ = 1099560917217. Its totient is φ = 71059887360.

The previous prime is 285220083581. The next prime is 285220083611. The reversal of 285220083600 is 6380022582.

The square root of 285220083600 is 534060.

It is a perfect power (a square), and thus also a powerful number.

285220083600 is a `hidden beast` number, since 28 + 5 + 2 + 20 + 0 + 8 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102679230096 + 182540853504 = 320436^2 + 427248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6633025179 + ... + 6633025221.

Almost surely, 2^285220083600 is an apocalyptic number.

285220083600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285220083600 is the 534060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285220083600

285220083600 is an abundant number, since it is smaller than the sum of its proper divisors (814340833617).

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

285220083600 is an equidigital number, since it uses as much as digits as its factorization.

285220083600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 285220083600 by its sum of digits (36), we get a square (10267923009600 = 3204360²).

285220083600 divided by its sum of digits (36) gives a square (7922780100 = 89010²).

The spelling of 285220083600 in words is "two hundred eighty-five billion, two hundred twenty million, eighty-three thousand, six hundred".