13286095198720 has 160 divisors (see below), whose sum is σ = 32053618080000. Its totient is φ = 5281474953216.

The previous prime is 13286095198709. The next prime is 13286095198757. The reversal of 13286095198720 is 2789159068231.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 305286402 + ... + 305329918.

It is an arithmetic number, because the mean of its divisors is an integer number (200335113000).

Almost surely, 2^{13286095198720} is an apocalyptic number.

13286095198720 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 13286095198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026809040000).

13286095198720 is an abundant number, since it is smaller than the sum of its proper divisors (18767522881280).

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

13286095198720 is an equidigital number, since it uses as much as digits as its factorization.

13286095198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44278 (or 44262 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 13286095198720 in words is "thirteen trillion, two hundred eighty-six billion, ninety-five million, one hundred ninety-eight thousand, seven hundred twenty".