13128356760 has 384 divisors, whose sum is σ = 44349465600. Its totient is φ = 3102105600.

The previous prime is 13128356729. The next prime is 13128356767. The reversal of 13128356760 is 6765382131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13128356767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86942685 + ... + 86942835.

It is an arithmetic number, because the mean of its divisors is an integer number (115493400).

Almost surely, 2^13128356760 is an apocalyptic number.

13128356760 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 13128356760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22174732800).

13128356760 is an abundant number, since it is smaller than the sum of its proper divisors (31221108840).

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

13128356760 is a wasteful number, since it uses less digits than its factorization.

13128356760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 13128356760 in words is "thirteen billion, one hundred twenty-eight million, three hundred fifty-six thousand, seven hundred sixty".