352819319230560 has 768 divisors, whose sum is σ = 1440481343293440. Its totient is φ = 70491915878400.

The previous prime is 352819319230529. The next prime is 352819319230571. The reversal of 352819319230560 is 65032913918253.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 352819319230560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1902913860 + ... + 1903099260.

It is an arithmetic number, because the mean of its divisors is an integer number (1875626749080).

Almost surely, 2^{352819319230560} is an apocalyptic number.

352819319230560 is a gapful number since it is divisible by the number (30) 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 352819319230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720240671646720).

352819319230560 is an abundant number, since it is smaller than the sum of its proper divisors (1087662024062880).

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

352819319230560 is a wasteful number, since it uses less digits than its factorization.

352819319230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187751 (or 187743 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 352819319230560 in words is "three hundred fifty-two trillion, eight hundred nineteen billion, three hundred nineteen million, two hundred thirty thousand, five hundred sixty".