10753118208 has 234 divisors, whose sum is σ = 36137987574. Its totient is φ = 3071803392.

The previous prime is 10753118179. The next prime is 10753118209. The reversal of 10753118208 is 80281135701.

10753118208 is a `hidden beast` number, since 107 + 531 + 18 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5868785664 + 4884332544 = 76608^2 + 69888^2 .

It is a super-2 number, since 2×10753118208² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10753118209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1803360 + ... + 1809312.

Almost surely, 2^10753118208 is an apocalyptic number.

10753118208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10753118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068993787).

10753118208 is an abundant number, since it is smaller than the sum of its proper divisors (25384869366).

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

10753118208 is an equidigital number, since it uses as much as digits as its factorization.

10753118208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10753118208 in words is "ten billion, seven hundred fifty-three million, one hundred eighteen thousand, two hundred eight".