285645761776960 has 448 divisors, whose sum is σ = 769509788221440. Its totient is φ = 100265575587840.

The previous prime is 285645761776913. The next prime is 285645761776979. The reversal of 285645761776960 is 69677167546582.

It is a super-2 number, since 2×285645761776960² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11314035057 + ... + 11314060303.

It is an arithmetic number, because the mean of its divisors is an integer number (1717655777280).

Almost surely, 2^{285645761776960} is an apocalyptic number.

285645761776960 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 285645761776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384754894110720).

285645761776960 is an abundant number, since it is smaller than the sum of its proper divisors (483864026444480).

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

285645761776960 is a wasteful number, since it uses less digits than its factorization.

285645761776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26854 (or 26844 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 79.

The spelling of 285645761776960 in words is "two hundred eighty-five trillion, six hundred forty-five billion, seven hundred sixty-one million, seven hundred seventy-six thousand, nine hundred sixty".