13062038049504 has 288 divisors, whose sum is σ = 40426544340000. Its totient is φ = 3986426990592.

The previous prime is 13062038049491. The next prime is 13062038049509. The reversal of 13062038049504 is 40594083026031.

13062038049504 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 20 + 3 + 80 + 49 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13062038049504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13062038049509) 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, 29950642 + ... + 30383630.

It is an arithmetic number, because the mean of its divisors is an integer number (140369945625).

Almost surely, 2^{13062038049504} 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 13062038049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213272170000).

13062038049504 is an abundant number, since it is smaller than the sum of its proper divisors (27364506290496).

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

13062038049504 is a wasteful number, since it uses less digits than its factorization.

13062038049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433210 (or 433199 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13062038049504 in words is "thirteen trillion, sixty-two billion, thirty-eight million, forty-nine thousand, five hundred four".