210505342300640 has 48 divisors (see below), whose sum is σ = 501234767857152. Its totient is φ = 83539127960064.

The previous prime is 210505342300633. The next prime is 210505342300661. The reversal of 210505342300640 is 46003243505012.

It is a super-2 number, since 2×210505342300640² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210505342300640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5179737119 + ... + 5179777758.

It is an arithmetic number, because the mean of its divisors is an integer number (10442390997024).

Almost surely, 2^{210505342300640} is an apocalyptic number.

210505342300640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210505342300640 is an abundant number, since it is smaller than the sum of its proper divisors (290729425556512).

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

210505342300640 is a wasteful number, since it uses less digits than its factorization.

210505342300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359515019 (or 10359515011 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 210505342300640 its reverse (46003243505012), we get a palindrome (256508585805652).

The spelling of 210505342300640 in words is "two hundred ten trillion, five hundred five billion, three hundred forty-two million, three hundred thousand, six hundred forty".