1085616292608 has 216 divisors, whose sum is σ = 3179597016960. Its totient is φ = 356186603520.

The previous prime is 1085616292543. The next prime is 1085616292633. The reversal of 1085616292608 is 8062926165801.

1085616292608 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 6 + 1 + 6 + 29 + 2 + 608 = 666.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45715618 + ... + 45739358.

It is an arithmetic number, because the mean of its divisors is an integer number (14720356560).

Almost surely, 2^{1085616292608} is an apocalyptic number.

1085616292608 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 1085616292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589798508480).

1085616292608 is an abundant number, since it is smaller than the sum of its proper divisors (2093980724352).

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

1085616292608 is a wasteful number, since it uses less digits than its factorization.

1085616292608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24075 (or 24058 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1085616292608 in words is "one trillion, eighty-five billion, six hundred sixteen million, two hundred ninety-two thousand, six hundred eight".