13219905504 has 96 divisors (see below), whose sum is σ = 37844997120. Its totient is φ = 4016143872.

The previous prime is 13219905451. The next prime is 13219905529. The reversal of 13219905504 is 40550991231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31549 + ... + 165635.

It is an arithmetic number, because the mean of its divisors is an integer number (394218720).

Almost surely, 2^13219905504 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 13219905504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922498560).

13219905504 is an abundant number, since it is smaller than the sum of its proper divisors (24625091616).

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

13219905504 is a wasteful number, since it uses less digits than its factorization.

13219905504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134192 (or 134184 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 13219905504 in words is "thirteen billion, two hundred nineteen million, nine hundred five thousand, five hundred four".