355420547941680 has 480 divisors, whose sum is σ = 1333431612414720. Its totient is φ = 87462856719360.

The previous prime is 355420547941651. The next prime is 355420547941729. The reversal of 355420547941680 is 86149745024553.

It is a happy number.

355420547941680 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 2 + 0 + 547 + 9 + 4 + 1 + 6 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 882044091 + ... + 882446949.

It is an arithmetic number, because the mean of its divisors is an integer number (2777982525864).

It is a 1-persistent number, because it is pandigital, but 2⋅355420547941680 = 710841095883360 is not.

Almost surely, 2^{355420547941680} is an apocalyptic number.

355420547941680 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 355420547941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666715806207360).

355420547941680 is an abundant number, since it is smaller than the sum of its proper divisors (978011064473040).

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

355420547941680 is a wasteful number, since it uses less digits than its factorization.

355420547941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406391 (or 406373 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 355420547941680 in words is "three hundred fifty-five trillion, four hundred twenty billion, five hundred forty-seven million, nine hundred forty-one thousand, six hundred eighty".