10522115280 has 120 divisors (see below), whose sum is σ = 35391830760. Its totient is φ = 2801525760.

The previous prime is 10522115267. The next prime is 10522115287. The reversal of 10522115280 is 8251122501.

It is a happy number.

10522115280 is a `hidden beast` number, since 1 + 0 + 522 + 11 + 52 + 80 = 666.

10522115280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 711608976 + 9810506304 = 26676^2 + 99048^2 .

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

It is a super-2 number, since 2×10522115280² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522115287) 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 23 ways as a sum of consecutive naturals, for example, 464866 + ... + 486974.

It is an arithmetic number, because the mean of its divisors is an integer number (294931923).

Almost surely, 2^10522115280 is an apocalyptic number.

10522115280 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 10522115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695915380).

10522115280 is an abundant number, since it is smaller than the sum of its proper divisors (24869715480).

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

10522115280 is a wasteful number, since it uses less digits than its factorization.

10522115280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22789 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10522115280 its reverse (8251122501), we get a palindrome (18773237781).

The spelling of 10522115280 in words is "ten billion, five hundred twenty-two million, one hundred fifteen thousand, two hundred eighty".