15013442320 has 80 divisors (see below), whose sum is σ = 35838799920. Its totient is φ = 5845606400.

The previous prime is 15013442263. The next prime is 15013442329. The reversal of 15013442320 is 2324431051.

It can be written as a sum of positive squares in 8 ways, for example, as 4801935616 + 10211506704 = 69296^2 + 101052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (15013442329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507116 + ... + 1517044.

It is an arithmetic number, because the mean of its divisors is an integer number (447984999).

Almost surely, 2^15013442320 is an apocalyptic number.

15013442320 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 15013442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919399960).

15013442320 is an abundant number, since it is smaller than the sum of its proper divisors (20825357600).

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

15013442320 is a wasteful number, since it uses less digits than its factorization.

15013442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 15013442320 its reverse (2324431051), we get a palindrome (17337873371).

The spelling of 15013442320 in words is "fifteen billion, thirteen million, four hundred forty-two thousand, three hundred twenty".