1085289535872 has 256 divisors, whose sum is σ = 3409598880000. Its totient is φ = 338870366208.

The previous prime is 1085289535843. The next prime is 1085289535901. The reversal of 1085289535872 is 2785359825801.

1085289535872 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 28 + 9 + 535 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1085289535843) and next prime (1085289535901).

It is a super-2 number, since 2×1085289535872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5751243 + ... + 5936949.

It is an arithmetic number, because the mean of its divisors is an integer number (13318745625).

Almost surely, 2^{1085289535872} is an apocalyptic number.

1085289535872 is a gapful number since it is divisible by the number (12) 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 1085289535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704799440000).

1085289535872 is an abundant number, since it is smaller than the sum of its proper divisors (2324309344128).

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

1085289535872 is a wasteful number, since it uses less digits than its factorization.

1085289535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185838 (or 185820 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 1085289535872 in words is "one trillion, eighty-five billion, two hundred eighty-nine million, five hundred thirty-five thousand, eight hundred seventy-two".