285362767872 has 864 divisors, whose sum is σ = 1066165027200. Its totient is φ = 71861796864.

The previous prime is 285362767841. The next prime is 285362767909. The reversal of 285362767872 is 278767263582.

285362767872 is a `hidden beast` number, since 2 + 8 + 536 + 27 + 6 + 7 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 501516004 + ... + 501516572.

It is an arithmetic number, because the mean of its divisors is an integer number (1233987300).

Almost surely, 2^285362767872 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 285362767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533082513600).

285362767872 is an abundant number, since it is smaller than the sum of its proper divisors (780802259328).

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

285362767872 is a wasteful number, since it uses less digits than its factorization.

285362767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 617 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 285362767872 in words is "two hundred eighty-five billion, three hundred sixty-two million, seven hundred sixty-seven thousand, eight hundred seventy-two".