285508548900 has 189 divisors, whose sum is σ = 929375011201. Its totient is φ = 76097141280.

The previous prime is 285508548791. The next prime is 285508548901. The reversal of 285508548900 is 9845805582.

It is a happy number.

The square root of 285508548900 is 534330.

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

285508548900 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 0 + 8 + 548 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102783077604 + 182725471296 = 320598^2 + 427464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (285508548901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 144268111 + ... + 144270089.

Almost surely, 2^285508548900 is an apocalyptic number.

285508548900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285508548900 is the 534330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285508548900

285508548900 is an abundant number, since it is smaller than the sum of its proper divisors (643866462301).

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

285508548900 is an frugal number, since it uses more digits than its factorization.

285508548900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 285508548900 in words is "two hundred eighty-five billion, five hundred eight million, five hundred forty-eight thousand, nine hundred".