85735955953758 has 16 divisors (see below), whose sum is σ = 187060267535616. Its totient is φ = 25980592713240.

The previous prime is 85735955953729. The next prime is 85735955953759.

It is a happy number.

85735955953758 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85735955953759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649514817766 + ... + 649514817897.

It is an arithmetic number, because the mean of its divisors is an integer number (11691266720976).

Almost surely, 2^{85735955953758} is an apocalyptic number.

85735955953758 is an abundant number, since it is smaller than the sum of its proper divisors (101324311581858).

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

85735955953758 is a wasteful number, since it uses less digits than its factorization.

85735955953758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299029635679.

The product of its digits is 35721000000, while the sum is 84.

The spelling of 85735955953758 in words is "eighty-five trillion, seven hundred thirty-five billion, nine hundred fifty-five million, nine hundred fifty-three thousand, seven hundred fifty-eight".