13828088305504 has 48 divisors (see below), whose sum is σ = 29814522743376. Its totient is φ = 6261037465600.

The previous prime is 13828088305453. The next prime is 13828088305513. The reversal of 13828088305504 is 40550388082831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76338217 + ... + 76519144.

It is an arithmetic number, because the mean of its divisors is an integer number (621135890487).

Almost surely, 2^{13828088305504} is an apocalyptic number.

It is an amenable number.

13828088305504 is an abundant number, since it is smaller than the sum of its proper divisors (15986434437872).

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

13828088305504 is a wasteful number, since it uses less digits than its factorization.

13828088305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152857639 (or 152857631 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 13828088305504 in words is "thirteen trillion, eight hundred twenty-eight billion, eighty-eight million, three hundred five thousand, five hundred four".