35352005000000 has 224 divisors, whose sum is σ = 94434825043104. Its totient is φ = 13053024000000.

The previous prime is 35352004999981. The next prime is 35352005000047. The reversal of 35352005000000 is 50025353.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6715892982016 + 28636112017984 = 2591504^2 + 5351272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 35352005000000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 64728062 + ... + 65271938.

It is an arithmetic number, because the mean of its divisors is an integer number (421584040371).

Almost surely, 2^{35352005000000} 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 35352005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47217412521552).

35352005000000 is an abundant number, since it is smaller than the sum of its proper divisors (59082820043104).

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

35352005000000 is an frugal number, since it uses more digits than its factorization.

35352005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543937 (or 543897 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 23.

Adding to 35352005000000 its reverse (50025353), we get a palindrome (35352055025353).

The spelling of 35352005000000 in words is "thirty-five trillion, three hundred fifty-two billion, five million", and thus it is an aban number.