13295760660000 has 1920 divisors, whose sum is σ = 60031753689600. Its totient is φ = 2803507200000.

The previous prime is 13295760659969. The next prime is 13295760660031. The reversal of 13295760660000 is 6606759231.

13295760660000 is a `hidden beast` number, since 1 + 32 + 9 + 5 + 7 + 6 + 0 + 6 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13295760659969) and next prime (13295760660031).

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 8304659200 + ... + 8304660800.

It is an arithmetic number, because the mean of its divisors is an integer number (31266538380).

Almost surely, 2^{13295760660000} is an apocalyptic number.

13295760660000 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 13295760660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30015876844800).

13295760660000 is an abundant number, since it is smaller than the sum of its proper divisors (46735993029600).

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

13295760660000 is an equidigital number, since it uses as much as digits as its factorization.

13295760660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13295760660000 in words is "thirteen trillion, two hundred ninety-five billion, seven hundred sixty million, six hundred sixty thousand".