10520345220 has 192 divisors, whose sum is σ = 38658816000. Its totient is φ = 2070973440.

The previous prime is 10520345203. The next prime is 10520345221. The reversal of 10520345220 is 2254302501.

10520345220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10520345220² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10520345221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27856 + ... + 147704.

It is an arithmetic number, because the mean of its divisors is an integer number (201348000).

Almost surely, 2^10520345220 is an apocalyptic number.

10520345220 is a gapful number since it is divisible by the number (10) 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 10520345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329408000).

10520345220 is an abundant number, since it is smaller than the sum of its proper divisors (28138470780).

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

10520345220 is a wasteful number, since it uses less digits than its factorization.

10520345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119898 (or 119896 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 10520345220 its reverse (2254302501), we get a palindrome (12774647721).

The spelling of 10520345220 in words is "ten billion, five hundred twenty million, three hundred forty-five thousand, two hundred twenty".