10528956112248 has 288 divisors, whose sum is σ = 35217091269360. Its totient is φ = 2823719270400.

The previous prime is 10528956112247. The next prime is 10528956112271. The reversal of 10528956112248 is 84221165982501.

It is a happy number.

10528956112248 is a `hidden beast` number, since 1 + 0 + 5 + 28 + 9 + 561 + 12 + 2 + 48 = 666.

It is a super-2 number, since 2×10528956112248² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10528956112194 and 10528956112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10528956112243) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22135723 + ... + 22606373.

Almost surely, 2^{10528956112248} is an apocalyptic number.

10528956112248 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 10528956112248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608545634680).

10528956112248 is an abundant number, since it is smaller than the sum of its proper divisors (24688135157112).

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

10528956112248 is a wasteful number, since it uses less digits than its factorization.

10528956112248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471067 (or 471053 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10528956112248 in words is "ten trillion, five hundred twenty-eight billion, nine hundred fifty-six million, one hundred twelve thousand, two hundred forty-eight".