10530138528 has 432 divisors, whose sum is σ = 38291774976. Its totient is φ = 2684897280.

The previous prime is 10530138517. The next prime is 10530138557. The reversal of 10530138528 is 82583103501.

10530138528 is a `hidden beast` number, since 10 + 530 + 13 + 85 + 28 = 666.

It is a super-2 number, since 2×10530138528² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10530138492 and 10530138501.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10561326 + ... + 10562322.

It is an arithmetic number, because the mean of its divisors is an integer number (88638368).

Almost surely, 2^10530138528 is an apocalyptic number.

10530138528 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 10530138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145887488).

10530138528 is an abundant number, since it is smaller than the sum of its proper divisors (27761636448).

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

10530138528 is a wasteful number, since it uses less digits than its factorization.

10530138528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10530138528 in words is "ten billion, five hundred thirty million, one hundred thirty-eight thousand, five hundred twenty-eight".