15128320960 has 112 divisors (see below), whose sum is σ = 37329465600. Its totient is φ = 5832802304.

The previous prime is 15128320951. The next prime is 15128320969. The reversal of 15128320960 is 6902382151.

It is an interprime number because it is at equal distance from previous prime (15128320951) and next prime (15128320969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15128320969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8007696 + ... + 8009584.

It is an arithmetic number, because the mean of its divisors is an integer number (333298800).

Almost surely, 2^15128320960 is an apocalyptic number.

15128320960 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 15128320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18664732800).

15128320960 is an abundant number, since it is smaller than the sum of its proper divisors (22201144640).

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

15128320960 is a wasteful number, since it uses less digits than its factorization.

15128320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 15128320960 in words is "fifteen billion, one hundred twenty-eight million, three hundred twenty thousand, nine hundred sixty".