13282453336320 has 576 divisors, whose sum is σ = 53947267799040. Its totient is φ = 3031506542592.

The previous prime is 13282453336319. The next prime is 13282453336343. The reversal of 13282453336320 is 2363335428231.

13282453336320 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 2 + 4 + 5 + 3 + 3 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13282453336320² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165191167 + ... + 165271553.

It is an arithmetic number, because the mean of its divisors is an integer number (93658451040).

Almost surely, 2^{13282453336320} is an apocalyptic number.

13282453336320 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 13282453336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26973633899520).

13282453336320 is an abundant number, since it is smaller than the sum of its proper divisors (40664814462720).

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

13282453336320 is an equidigital number, since it uses as much as digits as its factorization.

13282453336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81107 (or 81087 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 13282453336320 in words is "thirteen trillion, two hundred eighty-two billion, four hundred fifty-three million, three hundred thirty-six thousand, three hundred twenty".