1085295824559 has 12 divisors (see below), whose sum is σ = 1567764204552. Its totient is φ = 723477620400.

The previous prime is 1085295824539. The next prime is 1085295824611. The reversal of 1085295824559 is 9554285925801.

1085295824559 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 2 + 9 + 58 + 24 + 559 = 666.

It is not a de Polignac number, because 1085295824559 - 2²³ = 1085287435951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1085295824496 and 1085295824505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085295824539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4280712 + ... + 4527149.

It is an arithmetic number, because the mean of its divisors is an integer number (130647017046).

Almost surely, 2^{1085295824559} is an apocalyptic number.

1085295824559 is a deficient number, since it is larger than the sum of its proper divisors (482468379993).

1085295824559 is a wasteful number, since it uses less digits than its factorization.

1085295824559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821558 (or 8821555 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 63.

The spelling of 1085295824559 in words is "one trillion, eighty-five billion, two hundred ninety-five million, eight hundred twenty-four thousand, five hundred fifty-nine".