13194226287360 has 1728 divisors, whose sum is σ = 51570916669440. Its totient is φ = 3231694651392.

The previous prime is 13194226287311. The next prime is 13194226287379. The reversal of 13194226287360 is 6378262249131.

13194226287360 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 4 + 2 + 2 + 628 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13194226287297 and 13194226287306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38023706707 + ... + 38023707053.

It is an arithmetic number, because the mean of its divisors is an integer number (29844280480).

Almost surely, 2^{13194226287360} is an apocalyptic number.

13194226287360 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 13194226287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25785458334720).

13194226287360 is an abundant number, since it is smaller than the sum of its proper divisors (38376690382080).

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

13194226287360 is an frugal number, since it uses more digits than its factorization.

13194226287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13194226287360 in words is "thirteen trillion, one hundred ninety-four billion, two hundred twenty-six million, two hundred eighty-seven thousand, three hundred sixty".