351280598560 has 96 divisors (see below), whose sum is σ = 835679363904. Its totient is φ = 139536768000.

The previous prime is 351280598531. The next prime is 351280598563. The reversal of 351280598560 is 65895082153.

It is a junction number, because it is equal to n+sod(n) for n = 351280598498 and 351280598507.

It is not an unprimeable number, because it can be changed into a prime (351280598563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15552075 + ... + 15574645.

It is an arithmetic number, because the mean of its divisors is an integer number (8704993374).

Almost surely, 2^351280598560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351280598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417839681952).

351280598560 is an abundant number, since it is smaller than the sum of its proper divisors (484398765344).

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

351280598560 is a wasteful number, since it uses less digits than its factorization.

351280598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23258 (or 23250 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 52.

The spelling of 351280598560 in words is "three hundred fifty-one billion, two hundred eighty million, five hundred ninety-eight thousand, five hundred sixty".