1205335155066 has 128 divisors (see below), whose sum is σ = 2891814912000. Its totient is φ = 334651826880.

The previous prime is 1205335155029. The next prime is 1205335155083. The reversal of 1205335155066 is 6605515335021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10361815 + ... + 10477493.

It is an arithmetic number, because the mean of its divisors is an integer number (22592304000).

Almost surely, 2^{1205335155066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205335155066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445907456000).

1205335155066 is an abundant number, since it is smaller than the sum of its proper divisors (1686479756934).

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

1205335155066 is a wasteful number, since it uses less digits than its factorization.

1205335155066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115849 (or 115835 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 1205335155066 in words is "one trillion, two hundred five billion, three hundred thirty-five million, one hundred fifty-five thousand, sixty-six".