13582245052800 has 288 divisors, whose sum is σ = 50571720323280. Its totient is φ = 3464456540160.

The previous prime is 13582245052781. The next prime is 13582245052837. The reversal of 13582245052800 is 825054228531.

13582245052800 is a `hidden beast` number, since 1 + 3 + 5 + 82 + 2 + 45 + 0 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9589899 + ... + 10914698.

Almost surely, 2^{13582245052800} is an apocalyptic number.

13582245052800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13582245052800 is an abundant number, since it is smaller than the sum of its proper divisors (36989475270480).

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

13582245052800 is a wasteful number, since it uses less digits than its factorization.

13582245052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504650 (or 20504630 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

It can be divided in two parts, 1358224 and 5052800, that added together give a square (6411024 = 2532²).

The spelling of 13582245052800 in words is "thirteen trillion, five hundred eighty-two billion, two hundred forty-five million, fifty-two thousand, eight hundred".