35205315133324 has 72 divisors (see below), whose sum is σ = 72191035221984. Its totient is φ = 14715671193600.

The previous prime is 35205315133297. The next prime is 35205315133367. The reversal of 35205315133324 is 42333151350253.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162794292 + ... + 163010404.

It is an arithmetic number, because the mean of its divisors is an integer number (1002653266972).

Almost surely, 2^{35205315133324} 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 35205315133324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36095517610992).

35205315133324 is an abundant number, since it is smaller than the sum of its proper divisors (36985720088660).

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

35205315133324 is a wasteful number, since it uses less digits than its factorization.

35205315133324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219667 (or 219624 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 40.

Adding to 35205315133324 its reverse (42333151350253), we get a palindrome (77538466483577).

The spelling of 35205315133324 in words is "thirty-five trillion, two hundred five billion, three hundred fifteen million, one hundred thirty-three thousand, three hundred twenty-four".