350959656960 has 1344 divisors, whose sum is σ = 1430891744256. Its totient is φ = 78721843200.

The previous prime is 350959656919. The next prime is 350959656979. The reversal of 350959656960 is 69656959053.

350959656960 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 5 + 9 + 6 + 569 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4943093725 + ... + 4943093795.

Almost surely, 2^350959656960 is an apocalyptic number.

350959656960 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 350959656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715445872128).

350959656960 is an abundant number, since it is smaller than the sum of its proper divisors (1079932087296).

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

350959656960 is a wasteful number, since it uses less digits than its factorization.

350959656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 59049000, while the sum is 63.

The spelling of 350959656960 in words is "three hundred fifty billion, nine hundred fifty-nine million, six hundred fifty-six thousand, nine hundred sixty".