351755161628080 has 320 divisors, whose sum is σ = 989659172044800. Its totient is φ = 116100282009600.

The previous prime is 351755161628071. The next prime is 351755161628083. The reversal of 351755161628080 is 80826161557153.

It is not an unprimeable number, because it can be changed into a prime (351755161628083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161389732 + ... + 163554748.

It is an arithmetic number, because the mean of its divisors is an integer number (3092684912640).

Almost surely, 2^{351755161628080} 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 351755161628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494829586022400).

351755161628080 is an abundant number, since it is smaller than the sum of its proper divisors (637904010416720).

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

351755161628080 is a wasteful number, since it uses less digits than its factorization.

351755161628080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165273 (or 2165253 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 58.

The spelling of 351755161628080 in words is "three hundred fifty-one trillion, seven hundred fifty-five billion, one hundred sixty-one million, six hundred twenty-eight thousand, eighty".