284386297159680 has 896 divisors, whose sum is σ = 961102671298560. Its totient is φ = 71704636293120.

The previous prime is 284386297159663. The next prime is 284386297159691. The reversal of 284386297159680 is 86951792683482.

It is a junction number, because it is equal to n+sod(n) for n = 284386297159596 and 284386297159605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37532832052 + ... + 37532839628.

It is an arithmetic number, because the mean of its divisors is an integer number (1072659231360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅284386297159680 = 568772594319360, but 3⋅284386297159680 = 853158891479040 is not.

Almost surely, 2^{284386297159680} is an apocalyptic number.

284386297159680 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 284386297159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480551335649280).

284386297159680 is an abundant number, since it is smaller than the sum of its proper divisors (676716374138880).

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

284386297159680 is a wasteful number, since it uses less digits than its factorization.

284386297159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 284386297159680 in words is "two hundred eighty-four trillion, three hundred eighty-six billion, two hundred ninety-seven million, one hundred fifty-nine thousand, six hundred eighty".