1205436508160 has 192 divisors, whose sum is σ = 2960146425600. Its totient is φ = 470914891776.

The previous prime is 1205436508123. The next prime is 1205436508187. The reversal of 1205436508160 is 618056345021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251707046 + ... + 251711834.

It is an arithmetic number, because the mean of its divisors is an integer number (15417429300).

Almost surely, 2^{1205436508160} is an apocalyptic number.

1205436508160 is a gapful number since it is divisible by the number (10) 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 1205436508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480073212800).

1205436508160 is an abundant number, since it is smaller than the sum of its proper divisors (1754709917440).

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

1205436508160 is an equidigital number, since it uses as much as digits as its factorization.

1205436508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 1205436508160 in words is "one trillion, two hundred five billion, four hundred thirty-six million, five hundred eight thousand, one hundred sixty".