13424673753600 has 960 divisors, whose sum is σ = 46627840055808. Its totient is φ = 3401588736000.

The previous prime is 13424673753563. The next prime is 13424673753607. The reversal of 13424673753600 is 635737642431.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (13424673753607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11464281015 + ... + 11464282185.

Almost surely, 2^{13424673753600} is an apocalyptic number.

13424673753600 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 13424673753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313920027904).

13424673753600 is an abundant number, since it is smaller than the sum of its proper divisors (33203166302208).

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

13424673753600 is a wasteful number, since it uses less digits than its factorization.

13424673753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 13424673753600 in words is "thirteen trillion, four hundred twenty-four billion, six hundred seventy-three million, seven hundred fifty-three thousand, six hundred".