353795016960 has 1296 divisors, whose sum is σ = 1557255248640. Its totient is φ = 72585216000.

The previous prime is 353795016941. The next prime is 353795016961. The reversal of 353795016960 is 69610597353.

353795016960 is a `hidden beast` number, since 3 + 5 + 3 + 79 + 501 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353795016897 and 353795016906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353795016961) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 985501261 + ... + 985501619.

It is an arithmetic number, because the mean of its divisors is an integer number (1201585840).

Almost surely, 2^353795016960 is an apocalyptic number.

353795016960 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 353795016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778627624320).

353795016960 is an abundant number, since it is smaller than the sum of its proper divisors (1203460231680).

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

353795016960 is a wasteful number, since it uses less digits than its factorization.

353795016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 353795016960 in words is "three hundred fifty-three billion, seven hundred ninety-five million, sixteen thousand, nine hundred sixty".