10628866668827 has 16 divisors (see below), whose sum is σ = 11634056089344. Its totient is φ = 9630174180000.

The previous prime is 10628866668727. The next prime is 10628866668859. The reversal of 10628866668827 is 72886666882601.

It is not a de Polignac number, because 10628866668827 - 2⁸ = 10628866668571 is a prime.

It is a super-3 number, since 3×10628866668827³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10628866668877) 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, 24370577 + ... + 24802877.

It is an arithmetic number, because the mean of its divisors is an integer number (727128505584).

Almost surely, 2^{10628866668827} is an apocalyptic number.

10628866668827 is a deficient number, since it is larger than the sum of its proper divisors (1005189420517).

10628866668827 is a wasteful number, since it uses less digits than its factorization.

10628866668827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439810.

The product of its (nonzero) digits is 891813888, while the sum is 74.

The spelling of 10628866668827 in words is "ten trillion, six hundred twenty-eight billion, eight hundred sixty-six million, six hundred sixty-eight thousand, eight hundred twenty-seven".