1306968579180 has 72 divisors (see below), whose sum is σ = 4324877850384. Its totient is φ = 316840867200.

The previous prime is 1306968579167. The next prime is 1306968579187. The reversal of 1306968579180 is 819758696031.

1306968579180 is a `hidden beast` number, since 1 + 306 + 9 + 6 + 85 + 79 + 180 = 666.

It is not an unprimeable number, because it can be changed into a prime (1306968579187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330040591 + ... + 330044550.

It is an arithmetic number, because the mean of its divisors is an integer number (60067747922).

Almost surely, 2^{1306968579180} is an apocalyptic number.

1306968579180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306968579180 is an abundant number, since it is smaller than the sum of its proper divisors (3017909271204).

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

1306968579180 is a wasteful number, since it uses less digits than its factorization.

1306968579180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660085167 (or 660085162 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1306968579180 in words is "one trillion, three hundred six billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, one hundred eighty".