15172748328960 has 720 divisors, whose sum is σ = 55161983625840. Its totient is φ = 3852635996160.

The previous prime is 15172748328917. The next prime is 15172748329069. The reversal of 15172748328960 is 6982384727151.

15172748328960 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 274 + 83 + 289 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1673649340416 + 13499098988544 = 1293696^2 + 3674112^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1560816900 + ... + 1560826620.

It is an arithmetic number, because the mean of its divisors is an integer number (76613866147).

It is a 1-persistent number, because it is pandigital, but 2⋅15172748328960 = 30345496657920 is not.

Almost surely, 2^{15172748328960} is an apocalyptic number.

15172748328960 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 15172748328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27580991812920).

15172748328960 is an abundant number, since it is smaller than the sum of its proper divisors (39989235296880).

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

15172748328960 is an equidigital number, since it uses as much as digits as its factorization.

15172748328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9862 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 15172748328960 in words is "fifteen trillion, one hundred seventy-two billion, seven hundred forty-eight million, three hundred twenty-eight thousand, nine hundred sixty".