85791019758 has 64 divisors (see below), whose sum is σ = 185257912320. Its totient is φ = 26384896512.

The previous prime is 85791019757. The next prime is 85791019793.

It is a happy number.

85791019758 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×85791019758² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85791019757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167783 + ... + 7179741.

It is an arithmetic number, because the mean of its divisors is an integer number (2894654880).

Almost surely, 2^85791019758 is an apocalyptic number.

85791019758 is an abundant number, since it is smaller than the sum of its proper divisors (99466892562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85791019758 is a wasteful number, since it uses less digits than its factorization.

85791019758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361.

The product of its (nonzero) digits is 6350400, while the sum is 60.

The spelling of 85791019758 in words is "eighty-five billion, seven hundred ninety-one million, nineteen thousand, seven hundred fifty-eight".