10544541405520 has 80 divisors (see below), whose sum is σ = 25134656935248. Its totient is φ = 4111560212480.

The previous prime is 10544541405499. The next prime is 10544541405523. The reversal of 10544541405520 is 2550414544501.

It can be written as a sum of positive squares in 8 ways, for example, as 5153953333824 + 5390588071696 = 2270232^2 + 2321764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10544541405520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10544541405523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2670972 + ... + 5312548.

Almost surely, 2^{10544541405520} is an apocalyptic number.

10544541405520 is a gapful number since it is divisible by the number (10) 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 10544541405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567328467624).

10544541405520 is an abundant number, since it is smaller than the sum of its proper divisors (14590115529728).

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

10544541405520 is a wasteful number, since it uses less digits than its factorization.

10544541405520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642848 (or 2642842 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 10544541405520 in words is "ten trillion, five hundred forty-four billion, five hundred forty-one million, four hundred five thousand, five hundred twenty".