13579144896000 has 480 divisors, whose sum is σ = 46276371988704. Its totient is φ = 3532701696000.

The previous prime is 13579144895971. The next prime is 13579144896001. The reversal of 13579144896000 is 69844197531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13579144896000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13579144896001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322730964 + ... + 322773036.

Almost surely, 2^{13579144896000} is an apocalyptic number.

13579144896000 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 13579144896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23138185994352).

13579144896000 is an abundant number, since it is smaller than the sum of its proper divisors (32697227092704).

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

13579144896000 is an frugal number, since it uses more digits than its factorization.

13579144896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42191 (or 42124 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 13579144896000 in words is "thirteen trillion, five hundred seventy-nine billion, one hundred forty-four million, eight hundred ninety-six thousand".