91785517714257 has 64 divisors (see below), whose sum is σ = 130608871219200. Its totient is φ = 57167419196160.

The previous prime is 91785517714243. The next prime is 91785517714277. The reversal of 91785517714257 is 75241771558719.

It is not a de Polignac number, because 91785517714257 - 2¹⁰ = 91785517713233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91785517714191 and 91785517714200.

It is not an unprimeable number, because it can be changed into a prime (91785517714277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20761254907 + ... + 20761259327.

It is an arithmetic number, because the mean of its divisors is an integer number (2040763612800).

Almost surely, 2^{91785517714257} is an apocalyptic number.

It is an amenable number.

91785517714257 is a deficient number, since it is larger than the sum of its proper divisors (38823353504943).

91785517714257 is a wasteful number, since it uses less digits than its factorization.

91785517714257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006.

The product of its digits is 172872000, while the sum is 69.

The spelling of 91785517714257 in words is "ninety-one trillion, seven hundred eighty-five billion, five hundred seventeen million, seven hundred fourteen thousand, two hundred fifty-seven".