359130803328 has 512 divisors, whose sum is σ = 1178914694400. Its totient is φ = 107610624000.

The previous prime is 359130803293. The next prime is 359130803333. The reversal of 359130803328 is 823308031953.

359130803328 is a `hidden beast` number, since 3 + 5 + 9 + 1 + 308 + 0 + 332 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464593150 + ... + 464593922.

Almost surely, 2^359130803328 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 359130803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589457347200).

359130803328 is an abundant number, since it is smaller than the sum of its proper divisors (819783891072).

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

359130803328 is a wasteful number, since it uses less digits than its factorization.

359130803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 359130803328 in words is "three hundred fifty-nine billion, one hundred thirty million, eight hundred three thousand, three hundred twenty-eight".