13628269854720 has 680 divisors, whose sum is σ = 49083784747536. Its totient is φ = 3632485367808.

The previous prime is 13628269854691. The next prime is 13628269854733. The reversal of 13628269854720 is 2745896282631.

13628269854720 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 8 + 2 + 69 + 8 + 547 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6449724384 + ... + 6449726496.

It is a 1-persistent number, because it is pandigital, but 2⋅13628269854720 = 27256539709440 is not.

Almost surely, 2^{13628269854720} is an apocalyptic number.

13628269854720 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 13628269854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24541892373768).

13628269854720 is an abundant number, since it is smaller than the sum of its proper divisors (35455514892816).

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

13628269854720 is an frugal number, since it uses more digits than its factorization.

13628269854720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 13628269854720 in words is "thirteen trillion, six hundred twenty-eight billion, two hundred sixty-nine million, eight hundred fifty-four thousand, seven hundred twenty".