13377690580224 has 144 divisors (see below), whose sum is σ = 35713434867264. Its totient is φ = 4445562470400.

The previous prime is 13377690580207. The next prime is 13377690580229. The reversal of 13377690580224 is 42208509677331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13377690580229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408200959 + ... + 408233729.

It is an arithmetic number, because the mean of its divisors is an integer number (248009964356).

It is a 1-persistent number, because it is pandigital, but 2⋅13377690580224 = 26755381160448 is not.

Almost surely, 2^{13377690580224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13377690580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856717433632).

13377690580224 is an abundant number, since it is smaller than the sum of its proper divisors (22335744287040).

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

13377690580224 is a wasteful number, since it uses less digits than its factorization.

13377690580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34404 (or 34390 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 13377690580224 in words is "thirteen trillion, three hundred seventy-seven billion, six hundred ninety million, five hundred eighty thousand, two hundred twenty-four".