1205009409768 has 64 divisors (see below), whose sum is σ = 3057960383040. Its totient is φ = 395626581504.

The previous prime is 1205009409727. The next prime is 1205009409809. The reversal of 1205009409768 is 8679049005021.

It is an interprime number because it is at equal distance from previous prime (1205009409727) and next prime (1205009409809).

It is a self number, because there is not a number n which added to its sum of digits gives 1205009409768.

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, 815055 + ... + 1753377.

It is an arithmetic number, because the mean of its divisors is an integer number (47780630985).

Almost surely, 2^{1205009409768} is an apocalyptic number.

It is an amenable number.

1205009409768 is an abundant number, since it is smaller than the sum of its proper divisors (1852950973272).

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

1205009409768 is a wasteful number, since it uses less digits than its factorization.

1205009409768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939138 (or 939134 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 1205009409768 in words is "one trillion, two hundred five billion, nine million, four hundred nine thousand, seven hundred sixty-eight".