10909353257175 has 48 divisors (see below), whose sum is σ = 18964637390880. Its totient is φ = 5525596608000.

The previous prime is 10909353257171. The next prime is 10909353257249. The reversal of 10909353257175 is 57175235390901.

It is not a de Polignac number, because 10909353257175 - 2² = 10909353257171 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10909353257171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40980396 + ... + 41245745.

It is an arithmetic number, because the mean of its divisors is an integer number (395096612310).

Almost surely, 2^{10909353257175} is an apocalyptic number.

10909353257175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10909353257175 is a deficient number, since it is larger than the sum of its proper divisors (8055284133705).

10909353257175 is a wasteful number, since it uses less digits than its factorization.

10909353257175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82226244 (or 82226239 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 57.

The spelling of 10909353257175 in words is "ten trillion, nine hundred nine billion, three hundred fifty-three million, two hundred fifty-seven thousand, one hundred seventy-five".