35252143514640 has 120 divisors (see below), whose sum is σ = 127495252411800. Its totient is φ = 8677450708992.

The previous prime is 35252143514629. The next prime is 35252143514657. The reversal of 35252143514640 is 4641534125253.

35252143514640 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 214 + 351 + 46 + 40 = 666.

35252143514640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104130126864 + 35148013387776 = 322692^2 + 5928576^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1883117965 + ... + 1883136684.

It is an arithmetic number, because the mean of its divisors is an integer number (1062460436765).

Almost surely, 2^{35252143514640} is an apocalyptic number.

35252143514640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35252143514640 is an abundant number, since it is smaller than the sum of its proper divisors (92243108897160).

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

35252143514640 is a wasteful number, since it uses less digits than its factorization.

35252143514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766254681 (or 3766254672 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 35252143514640 its reverse (4641534125253), we get a palindrome (39893677639893).

The spelling of 35252143514640 in words is "thirty-five trillion, two hundred fifty-two billion, one hundred forty-three million, five hundred fourteen thousand, six hundred forty".