285138224207004 has 288 divisors, whose sum is σ = 800447421720576. Its totient is φ = 78688710696960.

The previous prime is 285138224206889. The next prime is 285138224207009. The reversal of 285138224207004 is 400702422831582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285138224207009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43512620592 + ... + 43512627144.

Almost surely, 2^{285138224207004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285138224207004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400223710860288).

285138224207004 is an abundant number, since it is smaller than the sum of its proper divisors (515309197513572).

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

285138224207004 is a wasteful number, since it uses less digits than its factorization.

285138224207004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 285138224207004 in words is "two hundred eighty-five trillion, one hundred thirty-eight billion, two hundred twenty-four million, two hundred seven thousand, four".