13255669440000 has 3200 divisors, whose sum is σ = 56353353154560. Its totient is φ = 3090493440000.

The previous prime is 13255669439899. The next prime is 13255669440007. The reversal of 13255669440000 is 4496655231.

13255669440000 is a `hidden beast` number, since 1 + 3 + 2 + 556 + 6 + 94 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13255669440007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 282035519977 + ... + 282035520023.

Almost surely, 2^{13255669440000} is an apocalyptic number.

13255669440000 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 13255669440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28176676577280).

13255669440000 is an abundant number, since it is smaller than the sum of its proper divisors (43097683714560).

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

13255669440000 is an frugal number, since it uses more digits than its factorization.

13255669440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13255669440000 in words is "thirteen trillion, two hundred fifty-five billion, six hundred sixty-nine million, four hundred forty thousand".