10532210540544 has 1428 divisors, whose sum is σ = 40176003505320. Its totient is φ = 2728950497280.

The previous prime is 10532210540539. The next prime is 10532210540557. The reversal of 10532210540544 is 44504501223501.

10532210540544 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 2 + 105 + 4 + 0 + 544 = 666.

It is a super-2 number, since 2×10532210540544² (a number of 27 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 = 10532210540499 and 10532210540508.

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 83 ways as a sum of consecutive naturals, for example, 25751125812 + ... + 25751126220.

Almost surely, 2^{10532210540544} is an apocalyptic number.

10532210540544 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 10532210540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088001752660).

10532210540544 is an abundant number, since it is smaller than the sum of its proper divisors (29643792964776).

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

10532210540544 is an frugal number, since it uses more digits than its factorization.

10532210540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 10532210540544 in words is "ten trillion, five hundred thirty-two billion, two hundred ten million, five hundred forty thousand, five hundred forty-four".