91729108759775 has 48 divisors (see below), whose sum is σ = 114281992091520. Its totient is φ = 73037295676800.

The previous prime is 91729108759741. The next prime is 91729108759861. The reversal of 91729108759775 is 57795780192719.

It is a de Polignac number, because none of the positive numbers 2^k-91729108759775 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91729108759696 and 91729108759705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8546450309 + ... + 8546461041.

It is an arithmetic number, because the mean of its divisors is an integer number (2380874835240).

Almost surely, 2^{91729108759775} is an apocalyptic number.

91729108759775 is a deficient number, since it is larger than the sum of its proper divisors (22552883331745).

91729108759775 is a wasteful number, since it uses less digits than its factorization.

91729108759775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13016 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 700131600, while the sum is 77.

The spelling of 91729108759775 in words is "ninety-one trillion, seven hundred twenty-nine billion, one hundred eight million, seven hundred fifty-nine thousand, seven hundred seventy-five".