10224110520 has 256 divisors, whose sum is σ = 38634624000. Its totient is φ = 2384183808.

The previous prime is 10224110513. The next prime is 10224110537. The reversal of 10224110520 is 2501142201.

10224110520 is a `hidden beast` number, since 10 + 2 + 24 + 110 + 520 = 666.

10224110520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10224110493 and 10224110502.

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 63 ways as a sum of consecutive naturals, for example, 247597 + ... + 285923.

It is an arithmetic number, because the mean of its divisors is an integer number (150916500).

Almost surely, 2^10224110520 is an apocalyptic number.

10224110520 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 10224110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317312000).

10224110520 is an abundant number, since it is smaller than the sum of its proper divisors (28410513480).

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

10224110520 is a wasteful number, since it uses less digits than its factorization.

10224110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38379 (or 38369 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10224110520 its reverse (2501142201), we get a palindrome (12725252721).

The spelling of 10224110520 in words is "ten billion, two hundred twenty-four million, one hundred ten thousand, five hundred twenty".