285199941551616 has 1120 divisors, whose sum is σ = 1071383615184960. Its totient is φ = 73797901811712.

The previous prime is 285199941551593. The next prime is 285199941551671. The reversal of 285199941551616 is 616155149991582.

It is a happy number.

285199941551616 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 9 + 9 + 9 + 4 + 1 + 551 + 61 + 6 = 666.

It is a super-2 number, since 2×285199941551616² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1800095890 + ... + 1800254318.

It is an arithmetic number, because the mean of its divisors is an integer number (956592513558).

Almost surely, 2^{285199941551616} is an apocalyptic number.

285199941551616 is a gapful number since it is divisible by the number (26) 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 285199941551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535691807592480).

285199941551616 is an abundant number, since it is smaller than the sum of its proper divisors (786183673633344).

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

285199941551616 is an equidigital number, since it uses as much as digits as its factorization.

285199941551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158538 (or 158507 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 72.

The spelling of 285199941551616 in words is "two hundred eighty-five trillion, one hundred ninety-nine billion, nine hundred forty-one million, five hundred fifty-one thousand, six hundred sixteen".