10009539410544 has 280 divisors, whose sum is σ = 29639352126720. Its totient is φ = 3272555696256.

The previous prime is 10009539410537. The next prime is 10009539410557. The reversal of 10009539410544 is 44501493590001.

10009539410544 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 5 + 3 + 94 + 10 + 544 = 666.

It is a super-2 number, since 2×10009539410544² (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 10009539410544.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 134530377 + ... + 134604759.

It is an arithmetic number, because the mean of its divisors is an integer number (105854829024).

Almost surely, 2^{10009539410544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009539410544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819676063360).

10009539410544 is an abundant number, since it is smaller than the sum of its proper divisors (19629812716176).

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

10009539410544 is an equidigital number, since it uses as much as digits as its factorization.

10009539410544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74631 (or 74610 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10009539410544 in words is "ten trillion, nine billion, five hundred thirty-nine million, four hundred ten thousand, five hundred forty-four".