10791505608735 has 16 divisors (see below), whose sum is σ = 17427777284736. Its totient is φ = 5701680221088.

The previous prime is 10791505608731. The next prime is 10791505608739. The reversal of 10791505608735 is 53780650519701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10791505608731) and next prime (10791505608739).

It is not a de Polignac number, because 10791505608735 - 2² = 10791505608731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10791505608731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361838149 + ... + 3361841358.

It is an arithmetic number, because the mean of its divisors is an integer number (1089236080296).

Almost surely, 2^{10791505608735} is an apocalyptic number.

10791505608735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10791505608735 is a deficient number, since it is larger than the sum of its proper divisors (6636271676001).

10791505608735 is a wasteful number, since it uses less digits than its factorization.

10791505608735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723679622.

The product of its (nonzero) digits is 7938000, while the sum is 57.

The spelling of 10791505608735 in words is "ten trillion, seven hundred ninety-one billion, five hundred five million, six hundred eight thousand, seven hundred thirty-five".