285663680640 has 2048 divisors, whose sum is σ = 1263403008000. Its totient is φ = 60197437440.

The previous prime is 285663680639. The next prime is 285663680647. The reversal of 285663680640 is 46086366582.

It is a happy number.

285663680640 is a `hidden beast` number, since 2 + 8 + 566 + 36 + 8 + 0 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (285663680647) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 2249320257 + ... + 2249320383.

It is an arithmetic number, because the mean of its divisors is an integer number (616896000).

Almost surely, 2^285663680640 is an apocalyptic number.

285663680640 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 285663680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631701504000).

285663680640 is an abundant number, since it is smaller than the sum of its proper divisors (977739327360).

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

285663680640 is a wasteful number, since it uses less digits than its factorization.

285663680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 285663680640 in words is "two hundred eighty-five billion, six hundred sixty-three million, six hundred eighty thousand, six hundred forty".