350593949160 has 1280 divisors, whose sum is σ = 1551725683200. Its totient is φ = 68892622848.

The previous prime is 350593949059. The next prime is 350593949207. The reversal of 350593949160 is 61949395053.

350593949160 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 93 + 9 + 491 + 60 = 666.

It is a super-2 number, since 2×350593949160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 350593949097 and 350593949106.

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 319 ways as a sum of consecutive naturals, for example, 566387331 + ... + 566387949.

It is an arithmetic number, because the mean of its divisors is an integer number (1212285690).

Almost surely, 2^350593949160 is an apocalyptic number.

350593949160 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 350593949160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775862841600).

350593949160 is an abundant number, since it is smaller than the sum of its proper divisors (1201131734040).

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

350593949160 is a wasteful number, since it uses less digits than its factorization.

350593949160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 350593949160 in words is "three hundred fifty billion, five hundred ninety-three million, nine hundred forty-nine thousand, one hundred sixty".