1085519034288 has 480 divisors, whose sum is σ = 3480527232000. Its totient is φ = 314938990080.

The previous prime is 1085519034191. The next prime is 1085519034329. The reversal of 1085519034288 is 8824309155801.

1085519034288 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 519 + 0 + 3 + 42 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2518605433 + ... + 2518605863.

It is an arithmetic number, because the mean of its divisors is an integer number (7251098400).

Almost surely, 2^{1085519034288} is an apocalyptic number.

1085519034288 is a gapful number since it is divisible by the number (18) 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 1085519034288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740263616000).

1085519034288 is an abundant number, since it is smaller than the sum of its proper divisors (2395008197712).

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

1085519034288 is a wasteful number, since it uses less digits than its factorization.

1085519034288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1085519034288 in words is "one trillion, eighty-five billion, five hundred nineteen million, thirty-four thousand, two hundred eighty-eight".