350557320960 has 3024 divisors, whose sum is σ = 1732886864352. Its totient is φ = 66886041600.

The previous prime is 350557320931. The next prime is 350557320961. The reversal of 350557320960 is 69023755053.

It is a happy number.

350557320960 is a `hidden beast` number, since 3 + 5 + 0 + 557 + 3 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350557320961) 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 335 ways as a sum of consecutive naturals, for example, 8550178540 + ... + 8550178580.

It is an arithmetic number, because the mean of its divisors is an integer number (573044598).

Almost surely, 2^350557320960 is an apocalyptic number.

350557320960 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 350557320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866443432176).

350557320960 is an abundant number, since it is smaller than the sum of its proper divisors (1382329543392).

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

350557320960 is a wasteful number, since it uses less digits than its factorization.

350557320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 350557320960 in words is "three hundred fifty billion, five hundred fifty-seven million, three hundred twenty thousand, nine hundred sixty".