13530128640 has 576 divisors, whose sum is σ = 54146050560. Its totient is φ = 2807562240.

The previous prime is 13530128621. The next prime is 13530128693. The reversal of 13530128640 is 4682103531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13251330 + ... + 13252350.

It is an arithmetic number, because the mean of its divisors is an integer number (94003560).

Almost surely, 2^13530128640 is an apocalyptic number.

13530128640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27073025280).

13530128640 is an abundant number, since it is smaller than the sum of its proper divisors (40615921920).

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

13530128640 is a wasteful number, since it uses less digits than its factorization.

13530128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 13530128640 in words is "thirteen billion, five hundred thirty million, one hundred twenty-eight thousand, six hundred forty".