10532555320224 has 384 divisors, whose sum is σ = 32390088192000. Its totient is φ = 2995568163840.

The previous prime is 10532555320213. The next prime is 10532555320247. The reversal of 10532555320224 is 42202355523501.

10532555320224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10532555320224² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12553700797 + ... + 12553701635.

It is an arithmetic number, because the mean of its divisors is an integer number (84349188000).

Almost surely, 2^{10532555320224} is an apocalyptic number.

10532555320224 is a gapful number since it is divisible by the number (14) 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 10532555320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195044096000).

10532555320224 is an abundant number, since it is smaller than the sum of its proper divisors (21857532871776).

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

10532555320224 is an equidigital number, since it uses as much as digits as its factorization.

10532555320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 10532555320224 in words is "ten trillion, five hundred thirty-two billion, five hundred fifty-five million, three hundred twenty thousand, two hundred twenty-four".