10530248688 has 120 divisors (see below), whose sum is σ = 30001460736. Its totient is φ = 3447360000.

The previous prime is 10530248657. The next prime is 10530248713. The reversal of 10530248688 is 88684203501.

10530248688 is a `hidden beast` number, since 10 + 530 + 2 + 48 + 68 + 8 = 666.

It is a Cunningham number, because it is equal to 102617²-1.

It is a super-2 number, since 2×10530248688² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844238 + ... + 1849938.

Almost surely, 2^10530248688 is an apocalyptic number.

10530248688 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 10530248688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000730368).

10530248688 is an abundant number, since it is smaller than the sum of its proper divisors (19471212048).

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

10530248688 is a wasteful number, since it uses less digits than its factorization.

10530248688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10530248688 in words is "ten billion, five hundred thirty million, two hundred forty-eight thousand, six hundred eighty-eight".