10542306528 has 216 divisors, whose sum is σ = 32682778128. Its totient is φ = 3221876736.

The previous prime is 10542306527. The next prime is 10542306529. The reversal of 10542306528 is 82560324501.

10542306528 is a `hidden beast` number, since 1 + 0 + 542 + 30 + 65 + 28 = 666.

10542306528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10542306527) and next prime (10542306529).

It is a super-2 number, since 2×10542306528² (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 = 10542306492 and 10542306501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542306521) 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 35 ways as a sum of consecutive naturals, for example, 8127576 + ... + 8128872.

It is an arithmetic number, because the mean of its divisors is an integer number (151309158).

Almost surely, 2^10542306528 is an apocalyptic number.

10542306528 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 10542306528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341389064).

10542306528 is an abundant number, since it is smaller than the sum of its proper divisors (22140471600).

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

10542306528 is a wasteful number, since it uses less digits than its factorization.

10542306528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10542306528 in words is "ten billion, five hundred forty-two million, three hundred six thousand, five hundred twenty-eight".