10005525444340 has 48 divisors (see below), whose sum is σ = 21103778581200. Its totient is φ = 3984668393472.

The previous prime is 10005525444241. The next prime is 10005525444347. The reversal of 10005525444340 is 4344452550001.

It can be written as a sum of positive squares in 8 ways, for example, as 1475831366244 + 8529694078096 = 1214838^2 + 2920564^2 .

It is a super-2 number, since 2×10005525444340² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005525444340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005525444347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9949366 + ... + 10908754.

It is an arithmetic number, because the mean of its divisors is an integer number (439662053775).

Almost surely, 2^{10005525444340} is an apocalyptic number.

10005525444340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005525444340 is an abundant number, since it is smaller than the sum of its proper divisors (11098253136860).

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

10005525444340 is a wasteful number, since it uses less digits than its factorization.

10005525444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961684 (or 961682 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 10005525444340 its reverse (4344452550001), we get a palindrome (14349977994341).

The spelling of 10005525444340 in words is "ten trillion, five billion, five hundred twenty-five million, four hundred forty-four thousand, three hundred forty".