1205849673360 has 240 divisors, whose sum is σ = 4218638561280. Its totient is φ = 308331463680.

The previous prime is 1205849673319. The next prime is 1205849673389. The reversal of 1205849673360 is 633769485021.

1205849673360 is a `hidden beast` number, since 1 + 2 + 0 + 58 + 496 + 73 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1205849673297 and 1205849673306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2185057 + ... + 2680703.

It is an arithmetic number, because the mean of its divisors is an integer number (17577660672).

It is a 1-persistent number, because it is pandigital, but 2⋅1205849673360 = 2411699346720 is not.

Almost surely, 2^{1205849673360} is an apocalyptic number.

1205849673360 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 1205849673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109319280640).

1205849673360 is an abundant number, since it is smaller than the sum of its proper divisors (3012788887920).

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

1205849673360 is a wasteful number, since it uses less digits than its factorization.

1205849673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495806 (or 495797 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1205849673360 in words is "one trillion, two hundred five billion, eight hundred forty-nine million, six hundred seventy-three thousand, three hundred sixty".