10530522144 has 72 divisors (see below), whose sum is σ = 30356454492. Its totient is φ = 3462082560.

The previous prime is 10530522131. The next prime is 10530522151. The reversal of 10530522144 is 44122503501.

10530522144 is a `hidden beast` number, since 105 + 30 + 522 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10529222544 + 1299600 = 102612^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10530522144² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229417 + ... + 271464.

Almost surely, 2^10530522144 is an apocalyptic number.

It is an amenable number.

10530522144 is an abundant number, since it is smaller than the sum of its proper divisors (19825932348).

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

10530522144 is a wasteful number, since it uses less digits than its factorization.

10530522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500970 (or 500959 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

It can be divided in two parts, 105305 and 22144, that added together give a square (127449 = 357²).

The spelling of 10530522144 in words is "ten billion, five hundred thirty million, five hundred twenty-two thousand, one hundred forty-four".