355218120391680 has 2112 divisors, whose sum is σ = 1532324687781888. Its totient is φ = 74087580303360.

The previous prime is 355218120391619. The next prime is 355218120391709. The reversal of 355218120391680 is 86193021812553.

355218120391680 is a `hidden beast` number, since 3 + 5 + 52 + 1 + 8 + 120 + 391 + 6 + 80 = 666.

It is a super-2 number, since 2×355218120391680² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160950665137 + ... + 160950667343.

It is an arithmetic number, because the mean of its divisors is an integer number (725532522624).

Almost surely, 2^{355218120391680} is an apocalyptic number.

355218120391680 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 355218120391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766162343890944).

355218120391680 is an abundant number, since it is smaller than the sum of its proper divisors (1177106567390208).

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

355218120391680 is a wasteful number, since it uses less digits than its factorization.

355218120391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 355218120391680 in words is "three hundred fifty-five trillion, two hundred eighteen billion, one hundred twenty million, three hundred ninety-one thousand, six hundred eighty".