1085459383296 has 528 divisors, whose sum is σ = 3338424460800. Its totient is φ = 339137003520.

The previous prime is 1085459383291. The next prime is 1085459383343. The reversal of 1085459383296 is 6923839545801.

1085459383296 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 4 + 593 + 8 + 32 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1085459383291) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1830453976 + ... + 1830454568.

It is an arithmetic number, because the mean of its divisors is an integer number (6322773600).

Almost surely, 2^{1085459383296} is an apocalyptic number.

1085459383296 is a gapful number since it is divisible by the number (16) 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 1085459383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669212230400).

1085459383296 is an abundant number, since it is smaller than the sum of its proper divisors (2252965077504).

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

1085459383296 is a wasteful number, since it uses less digits than its factorization.

1085459383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 1085459383296 in words is "one trillion, eighty-five billion, four hundred fifty-nine million, three hundred eighty-three thousand, two hundred ninety-six".