1306858311180 has 72 divisors (see below), whose sum is σ = 3986282991600. Its totient is φ = 346548638592.

The previous prime is 1306858311173. The next prime is 1306858311191. The reversal of 1306858311180 is 811138586031.

1306858311180 is a `hidden beast` number, since 1 + 3 + 0 + 68 + 583 + 1 + 1 + 1 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20248015 + ... + 20312454.

It is an arithmetic number, because the mean of its divisors is an integer number (55365041550).

Almost surely, 2^{1306858311180} is an apocalyptic number.

1306858311180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306858311180 is an abundant number, since it is smaller than the sum of its proper divisors (2679424680420).

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

1306858311180 is a wasteful number, since it uses less digits than its factorization.

1306858311180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40560663 (or 40560658 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1306858311180 in words is "one trillion, three hundred six billion, eight hundred fifty-eight million, three hundred eleven thousand, one hundred eighty".