285101040900 has 288 divisors, whose sum is σ = 901150322688. Its totient is φ = 69171264000.

The previous prime is 285101040899. The next prime is 285101040923. The reversal of 285101040900 is 9040101582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196485175 + ... + 196486625.

It is an arithmetic number, because the mean of its divisors is an integer number (3128994176).

Almost surely, 2^285101040900 is an apocalyptic number.

285101040900 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 285101040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450575161344).

285101040900 is an abundant number, since it is smaller than the sum of its proper divisors (616049281788).

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

285101040900 is a wasteful number, since it uses less digits than its factorization.

285101040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 285101040900 in words is "two hundred eighty-five billion, one hundred one million, forty thousand, nine hundred".