1095305435028 has 768 divisors, whose sum is σ = 3706601472000. Its totient is φ = 272711577600.

The previous prime is 1095305434991. The next prime is 1095305435047. The reversal of 1095305435028 is 8205345035901.

1095305435028 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 30 + 543 + 50 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 640903438 + ... + 640905146.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304000).

Almost surely, 2^{1095305435028} is an apocalyptic number.

1095305435028 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 1095305435028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736000).

1095305435028 is an abundant number, since it is smaller than the sum of its proper divisors (2611296036972).

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

1095305435028 is a wasteful number, since it uses less digits than its factorization.

1095305435028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1095305435028 in words is "one trillion, ninety-five billion, three hundred five million, four hundred thirty-five thousand, twenty-eight".