15220768448160 has 2304 divisors, whose sum is σ = 63053680435200. Its totient is φ = 3302100172800.

The previous prime is 15220768448147. The next prime is 15220768448167. The reversal of 15220768448160 is 6184486702251.

15220768448160 is a `hidden beast` number, since 1 + 5 + 2 + 20 + 7 + 6 + 84 + 481 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15220768448097 and 15220768448106.

It is not an unprimeable number, because it can be changed into a prime (15220768448167) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 84092643270 + ... + 84092643450.

It is an arithmetic number, because the mean of its divisors is an integer number (27367048800).

Almost surely, 2^{15220768448160} is an apocalyptic number.

15220768448160 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 15220768448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31526840217600).

15220768448160 is an abundant number, since it is smaller than the sum of its proper divisors (47832911987040).

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

15220768448160 is a wasteful number, since it uses less digits than its factorization.

15220768448160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 15220768448160 in words is "fifteen trillion, two hundred twenty billion, seven hundred sixty-eight million, four hundred forty-eight thousand, one hundred sixty".