10826353549117 has 8 divisors (see below), whose sum is σ = 11094748334712. Its totient is φ = 10558165305600.

The previous prime is 10826353549111. The next prime is 10826353549147. The reversal of 10826353549117 is 71194535362801.

It can be written as a sum of positive squares in 4 ways, for example, as 183791406681 + 10642562142436 = 428709^2 + 3262294^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10826353549117 - 2¹⁹ = 10826353024829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826353549111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51529384 + ... + 51739057.

It is an arithmetic number, because the mean of its divisors is an integer number (1386843541839).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10826353549117 = 21652707098234, but 3⋅10826353549117 = 32479060647351 is not.

Almost surely, 2^{10826353549117} is an apocalyptic number.

It is an amenable number.

10826353549117 is a deficient number, since it is larger than the sum of its proper divisors (268394785595).

10826353549117 is a wasteful number, since it uses less digits than its factorization.

10826353549117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103271039.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 10826353549117 in words is "ten trillion, eight hundred twenty-six billion, three hundred fifty-three million, five hundred forty-nine thousand, one hundred seventeen".