320053531202640 has 120 divisors (see below), whose sum is σ = 1111910112785160. Its totient is φ = 82404587338752.

The previous prime is 320053531202593. The next prime is 320053531202677. The reversal of 320053531202640 is 46202135350023.

320053531202640 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 5 + 3 + 5 + 3 + 1 + 2 + 0 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2632415390784 + 317421115811856 = 1622472^2 + 17816316^2 .

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

It is a super-3 number, since 3×320053531202640³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320053531202595 and 320053531202604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7664096247 + ... + 7664138006.

It is an arithmetic number, because the mean of its divisors is an integer number (9265917606543).

Almost surely, 2^{320053531202640} is an apocalyptic number.

320053531202640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320053531202640 is an abundant number, since it is smaller than the sum of its proper divisors (791856581582520).

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

320053531202640 is a wasteful number, since it uses less digits than its factorization.

320053531202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328234301 (or 15328234292 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 320053531202640 its reverse (46202135350023), we get a palindrome (366255666552663).

The spelling of 320053531202640 in words is "three hundred twenty trillion, fifty-three billion, five hundred thirty-one million, two hundred two thousand, six hundred forty".