353255221920 has 192 divisors, whose sum is σ = 1117627217280. Its totient is φ = 93789696000.

The previous prime is 353255221903. The next prime is 353255221981. The reversal of 353255221920 is 29122552353.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206702026 + ... + 206703734.

It is an arithmetic number, because the mean of its divisors is an integer number (5820975090).

Almost surely, 2^353255221920 is an apocalyptic number.

353255221920 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 353255221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558813608640).

353255221920 is an abundant number, since it is smaller than the sum of its proper divisors (764371995360).

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

353255221920 is a wasteful number, since it uses less digits than its factorization.

353255221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 353255221920 in words is "three hundred fifty-three billion, two hundred fifty-five million, two hundred twenty-one thousand, nine hundred twenty".