12738529408 has 64 divisors (see below), whose sum is σ = 27706782240. Its totient is φ = 5785600000.

The previous prime is 12738529351. The next prime is 12738529409. The reversal of 12738529408 is 80492583721.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12738529409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2251383 + ... + 2257033.

Almost surely, 2^12738529408 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 12738529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853391120).

12738529408 is an abundant number, since it is smaller than the sum of its proper divisors (14968252832).

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

12738529408 is a wasteful number, since it uses less digits than its factorization.

12738529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 12738529408 in words is "twelve billion, seven hundred thirty-eight million, five hundred twenty-nine thousand, four hundred eight".