10527073586741 has 16 divisors (see below), whose sum is σ = 10580542806384. Its totient is φ = 10473768797184.

The previous prime is 10527073586707. The next prime is 10527073586791. The reversal of 10527073586741 is 14768537072501.

10527073586741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 61013940100 + 10466059646641 = 247010^2 + 3235129^2 .

It is a cyclic number.

It is not a de Polignac number, because 10527073586741 - 2³⁰ = 10525999844917 is a prime.

It is a super-2 number, since 2×10527073586741² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527073586791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303592781 + ... + 303627453.

It is an arithmetic number, because the mean of its divisors is an integer number (661283925399).

Almost surely, 2^{10527073586741} is an apocalyptic number.

It is an amenable number.

10527073586741 is a deficient number, since it is larger than the sum of its proper divisors (53469219643).

10527073586741 is a wasteful number, since it uses less digits than its factorization.

10527073586741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37000.

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 10527073586741 in words is "ten trillion, five hundred twenty-seven billion, seventy-three million, five hundred eighty-six thousand, seven hundred forty-one".