283984215240960 has 1296 divisors, whose sum is σ = 1107266336467200. Its totient is φ = 67086951579648.

The previous prime is 283984215240911. The next prime is 283984215240961. The reversal of 283984215240960 is 69042512489382.

283984215240960 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 8 + 4 + 215 + 2 + 409 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (283984215240961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9428724781 + ... + 9428754899.

It is an arithmetic number, because the mean of its divisors is an integer number (854372173200).

Almost surely, 2^{283984215240960} is an apocalyptic number.

283984215240960 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 283984215240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553633168233600).

283984215240960 is an abundant number, since it is smaller than the sum of its proper divisors (823282121226240).

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

283984215240960 is a wasteful number, since it uses less digits than its factorization.

283984215240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30368 (or 30338 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 283984215240960 in words is "two hundred eighty-three trillion, nine hundred eighty-four billion, two hundred fifteen million, two hundred forty thousand, nine hundred sixty".