285661984896 has 96 divisors (see below), whose sum is σ = 822353800320. Its totient is φ = 95182241280.

The previous prime is 285661984879. The next prime is 285661984901. The reversal of 285661984896 is 698489166582.

285661984896 is a `hidden beast` number, since 2 + 8 + 56 + 6 + 1 + 98 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×285661984896² (a number of 24 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 11 ways as a sum of consecutive naturals, for example, 2880781 + ... + 2978291.

It is an arithmetic number, because the mean of its divisors is an integer number (8566185420).

Almost surely, 2^285661984896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285661984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411176900160).

285661984896 is an abundant number, since it is smaller than the sum of its proper divisors (536691815424).

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

285661984896 is a wasteful number, since it uses less digits than its factorization.

285661984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100074 (or 100059 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 285661984896 in words is "two hundred eighty-five billion, six hundred sixty-one million, nine hundred eighty-four thousand, eight hundred ninety-six".