285229983565800 has 8064 divisors, whose sum is σ = 1424109711144960. Its totient is φ = 51468809011200.

The previous prime is 285229983565763. The next prime is 285229983565811. The reversal of 285229983565800 is 8565389922582.

285229983565800 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 2 + 9 + 9 + 8 + 35 + 6 + 580 + 0 = 666.

It is a super-2 number, since 2×285229983565800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 2015 ways as a sum of consecutive naturals, for example, 2524159146544 + ... + 2524159146656.

It is an arithmetic number, because the mean of its divisors is an integer number (176600906640).

Almost surely, 2^{285229983565800} is an apocalyptic number.

285229983565800 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 285229983565800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712054855572480).

285229983565800 is an abundant number, since it is smaller than the sum of its proper divisors (1138879727579160).

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

285229983565800 is a wasteful number, since it uses less digits than its factorization.

285229983565800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 285229983565800 in words is "two hundred eighty-five trillion, two hundred twenty-nine billion, nine hundred eighty-three million, five hundred sixty-five thousand, eight hundred".